Solve the system, by elimination please show all the steps!
-2x+2y+3z=0
-2x-y+z=-3
2x+3y+3z=5

Answers

Answer 1

Answer:

x = 1 , y = 1 , z = 0

Step-by-step explanation:

Solve the following system:

{-2 x + 2 y + 3 z = 0 | (equation 1)

-2 x - y + z = -3 | (equation 2)

2 x + 3 y + 3 z = 5 | (equation 3)

Subtract equation 1 from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x - 3 y - 2 z = -3 | (equation 2)

2 x + 3 y + 3 z = 5 | (equation 3)

Multiply equation 2 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+3 y + 2 z = 3 | (equation 2)

2 x + 3 y + 3 z = 5 | (equation 3)

Add equation 1 to equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+3 y + 2 z = 3 | (equation 2)

0 x+5 y + 6 z = 5 | (equation 3)

Swap equation 2 with equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+3 y + 2 z = 3 | (equation 3)

Subtract 3/5 × (equation 2) from equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+0 y - (8 z)/5 = 0 | (equation 3)

Multiply equation 3 by 5/8:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+0 y - z = 0 | (equation 3)

Multiply equation 3 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 6 × (equation 3) from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y+0 z = 5 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Divide equation 2 by 5:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 2 × (equation 2) from equation 1:

{-(2 x) + 0 y+3 z = -2 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 3 × (equation 3) from equation 1:

{-(2 x)+0 y+0 z = -2 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Divide equation 1 by -2:

{x+0 y+0 z = 1 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Collect results:

Answer: {x = 1 , y = 1 , z = 0

Answer 2

Answer:

x= 1, y = 1, z=  0

Step-by-step explanation

-2x + 2y + 3z = 0

2x + 3y + 3z = 5

-2x - y + z = -3

2x + 3y + 3z = 5

(solving systems)

5y + 6z = 5

2y + 4z = 2

(rewriting)

z = 0

y = 1

-2x + 2 x 1 + 3 x 0

x=1


Related Questions

SAS Similarity


Not Similar


SSS Similarity


AA Similarity

Answers

Answer:

So using process of elimination it isnt possible for it to be AA or not similiar bc they are similiar since there vertical angles so were left with picking between SSS and SAS which I know that there is an angle that is congruent which is at the midpoint so if i were you I would put SAS similarity.

Step-by-step explanation:

I just took a test of this lesson so I hope im right.

A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area?

Answers

Answer:

315

Step-by-step explanation:

5 x 7 = 35

280 + 35 = 315

There sth answer

Answer:7 inches → 280 yards

1 inch → 280 ÷ 7 = 40 yards

5 inches → 40 x 5 = 200 yards

Area = 280 x 200 = 56 000 yards

hope this help btw i am 12

Step-by-step explanation:

can someone help me with this

Answers

Answer:x+90+20=180,70*

Step-by-step explanation

i hope this helped :D

A juggler throws a beanbag into the air with a speed of 1.0 \dfrac{\text m}{\text s} 1.0 s m ​ 1, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction . How long does it take for the beanbag to reach its maximum height?

Answers

Answer:

0.102 s

Step-by-step explanation:

Given the following :

Initial speed (u) = 1 m/s

How long does it take the bean bag to reach maximum height?

At maximum height, the final velocity v = 0

Acceleration due to gravity g = - ve (upward motion) =? - 9. 8m/s²

Using the relation:

v = u + gt

0 = 1 - 9.8t

9.8t = 1

t = 1 / 9.8

t = 0.102 s

Answer:

0.10

Step-by-step explanation: Khan Academy

0.72...0.702 put < or > between the numbers in each pair​

Answers

Answer:

0.72>0.702

Step-by-step explanation:

Find the area of the rectangle contained within the following four lines

x =1, x = -2 , y= -3, y=2



How do you do this please help with this question pleaseeeeeee if you give good explanation I will make you brain list thing. This is a linear relation ship question. PLEASE HELP WITH THIS QUESTION

Answers

Answer:

should be 15 hope I helped you out.

Step-by-step explanation:

Answer:

15 sq unit

Step-by-step explanation:

Easiest way to understand this question is to plot the lines on the graph which will give you a rectangle with four sides at given points.

the length of the said rectangle will be l = 1 + (-2)

and the breath b = 2 + (-3)

Area= lxb = 15 sq.unit

dose anybody know this? could you provide the step by step

Answers

17 people because if they spend $300 the equation 300=5p+215, then subtract 215 on both sides then it would be 85=5p and then you divide 5 by 85 and you have 17 (sorry if i’m wrong!)

If α, β are the zeroes of the polynomials f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) =

Answers

Answer:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

Step-by-step f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)explanation:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(xf(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(xf(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

You are at an pear picking farm and they allow you to pick up to 50 pears a day. Today, you have already picked 14 pears. Which inequality below would represent how many pears you can still pick, p?

p − 14 ≤ 50

p + 14 ≥ 50

p − 14 ≥ 50

p + 14 ≤ 50

Answers

Answer:

p + 14 ≤ 50

Step-by-step explanation:

what you pick, p , plus the 14 you have, must be less than the 50 allowed.

Answer:

p + 14 ≤ 50

Step-by-step explanation:

Since you have already picked 14, you can pick p more. The sum of what you have already picked and what you will pick has to be 50 or less.

Find the annual rate.
1. =$24, P=$400, t=2 years
2. I=$54, P=$900, t=1 year

Answers

Answer: for number one it is t=2

And for number 2 the answer is t=1

Step-by-step explanation:

3y/4=21
pls urgent will mark u the brainliast​

Answers

Answer:

y=28 Good Luck!

Step-by-step explanation:

Answer:

y=28

Step-by-step explanation:

Tom walks 3.2 km every morning. How many feet are in 3.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet? 2,654.85 feet 8,500.67 feet 10,500.93 feet 16,901.15 feetTom walks 3.2 km every morning. How many feet are in 3.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet? 2,654.85 feet 8,500.67 feet 10,500.93 feet 16,901.15 feet

Answers

Answer:

10,500.93 feet

Step-by-step explanation:

From the question, we are told that Tom walks 3.2km every morning.

1 mile = 1.609km

1 mile = 5280 feet

Step 1

1.609km = 1 mile

3.2km = x mile

Cross Multiply

x mile × 1.609km = 3.2km × 1 mile

x mile = 3.2km × 1 mile/1.609.

= 1.9888129273 miles

1 mile = 5280 feet

1.9888129273miles = y

Cross Multiply

y = 1.9888129273 × 5280 feet/1 mile

= 10500.932256 feet

Approximately = 10,500.93 feet

Therefore, Tom walks for 10,500.93 feet

10560

Answer:

10,500.93 feet

Step-by-step explanation:

How many miles could Katya go if she filled her 22-gallon tank? Show your math
work

Answers

Answer:

that all depends on the car mileage, say she gets 20 mpg itd be 20x22

How many births occurred among women over the age of 40?​

Answers

Answer:

66

Step-by-step explanation:

45+17+4

Answer:

66

Step-by-step explanation:

Following the x-axis on the chart, labeled Mother's age (in years), add all the values that happened after age 40 (45 + 17 + 4 = 66)

Complete the square to re-write the quadratic function in vertex form:
y = x2+ 10x - 2

Answers

Answer:

            [tex]\bold{y=(x+5)^2-27}[/tex]

Step-by-step explanation:

                                      [tex]y = x^2+ 10x - 2\\\\y = x^2+ 2\cdot x\cdot5+5^2-5^2 - 2\\\\y=(x+5)^2-25-2\\\\y=(x+5)^2-27[/tex]

how do i determine the dimensions of a rectangle

Answers

Area is Length x Width

Perimeter is 2L +2W

What is the value of p in the equation shown?
3
p =-0.027

Answers

Answer:

According to the question,

3p=-0.027

By transposing '3' to the RHS, we get

p=0.027/3

=  p=-0.009

So in this question p=-0.009

Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
322 - 5w2

Answers

Answer:

282

Step-by-step explanation:

322- 5(4)2

322-40

282

Viserys deposited $10000 in to an account that pays a simple interest rate of 5%. How long will it take for his money to double ?

Answers

Answer:

Somebody once told me the world is gonna roll me

I ain't the sharpest tool in the shed

She was looking kind of dumb with her finger and her thumb

In the shape of an "L" on her forehead

[Pre-Chorus]

Well, the years start coming and they don't stop coming

Fed to the rules and I hit the ground running

Didn't make sense not to live for fun

Your brain gets smart but your head gets dumb

So much to do, so much to see

So what's wrong with taking the backstreets?

You'll never know if you don't go

You'll never shine if you don't glow

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

And all that glitters is gold

Only shooting stars break the mold

[Verse 2]

It's a cool place, and they say it gets colder

You're bundled up now, wait 'til you get older

But the meteor men beg to differ

Judging by the hole in the satellite picture

The ice we skate is getting pretty thin

The water's getting warm so you might as well swim

My world's on fire, how 'bout yours?

That's the way I like it and I'll never get bored

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

All that glitters is gold

Only shooting stars break the mold

[Interlude]

Go for the moon

Go for the moon

Go for the moon

Go for the moon

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

And all that glitters is gold

Only shooting stars

[Verse 3]

Somebody once asked, “could I spare some change for gas?

I need to get myself away from this place"

I said, "Yep, what a concept

I could use a little fuel myself and we could all use a little change"

[Pre-Chorus]

Well, the years start coming and they don't stop coming

Fed to the rules and I hit the ground running

Didn't make sense not to live for fun

Your brain gets smart but your head gets dumb

So much to do, so much to see

So what's wrong with taking the backstreets?

You'll never know if you don't go (Go!)

You'll never shine if you don't glow

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

And all that glitters is gold

Only shooting stars break the mold

[Outro]

And all that glitters is gold

Only shooting stars break the mold

Step-by-step explanation:

Answer:

4,000%

Step-by-step explanation:

You can solve this problem by using a proportion.

So to start the proportion draw one line then put an equal sign and draw another line.

Then start filling out the proprtion. in proprtions  your is and of can make it easier to solve the problem

is $10,000_________= ______________

of 5%                                     100%    

First multiply $10,000 dollars by 100%, you get 200,000%

Then divide 200,000% by 5% and you get 4,000%

-6y = -72 help!!!! PLZ

Answers

Answer: y = 12

Step-by-step explanation:

Divide both sides by -6

y = -72/-6

Two negatives make a positive.

y = 72/6

Simplify 72/6 to 12

y = 12

Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You
mix the Tanzanian blend with the Queen City blend, but always in the same proportion. Yesterday, you
mixed 40 pounds of the Tanzanian blend with 8 pounds of the Queen City blend. Today, there is 20 pounds
of the Tanzanian coffee left in stock. How many pounds of the Queen City coffee should you mix with it to
get your secret blend?

Answers

Quantity of Tanzanian blend used in my secret coffee blend = 40 pounds

Quantity of Queen city blend used in my secret coffee blend = 8 pounds

The ratio of Tanzanian blend to Queen city blend in my coffee blend = 40 : 8

Quantity of Tanzanian blend with me = 20 pounds

Quantity of Queen city bend needed to make my secret coffee blend =

Let the quantity of Queen city blend I will need be x .

[tex] \frac{40}{8} = \frac{20}{x} [/tex]

[tex]8 \times 20 = 40 \times x[/tex]

[tex]160 = 40x[/tex]

[tex]x = \frac{160}{40} [/tex]

[tex]x = 4[/tex]

Therefore , I need to mix 4 pounds of queen city blend with my 20 pounds of Tanzanian blend to get my secret coffee blend .

4 pounds of  the Queen City coffee should you mix with it to get your secret blend.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that,

Yesterday If we mixed 40 pounds of the Tanzanian blend with 8 pounds of the Queen City blend.

In the same proportion, today there is 20 pounds of the Tanzanian coffee left in stock.

We need to calculate how many pounds of the Queen City coffee should you mix with it to get your secret blend.

Let x be the pounds of the Queen City coffee should you mix with it

Let us form a equation

40/8=20/x

Apply cross multiplication

40x=160

Divide both sides by 40

x=4

Hence 4 pounds of  the Queen City coffee should you mix with it to

get your secret blend.

To learn more on ratios click:

https://brainly.com/question/1504221

#SPJ2

PLEASE HELP ME GIVING 50 POINTS!!! A fifteen passenger van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. Which inequality could be used to find x, the number of days the car be rented if they want to spend less than $760.00 on the van rental?

Answers

Answer:

75x+160<760

Step-by-step explanation:

uhh it should be that if it´s not i´m sorry

Answer:

75x+160>760

Step-by-step explanation:

send help pleaseeeeeee

Answers

Answer:

The answer is d 1:2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

they are similar because AB/DE=BC/EF=CA/FD = 10/20 =6/12 = 7/14 = 1/2

(SSS) the ratio ABC to DEF is 1:2

What is the average rate of change of the functionf(x)=20(14)x from x = 1 to x = 2?



Enter your answer, as a decimal, in the box.

Answers

Answer:

-3.75 and oof i got it wrong i put 3.75

Step-by-step explanation:

What is (4,5) reflected on the x-axis

Answers

Answer:

(4, -5)

Step-by-step explanation:

(4, 5) is 4 units to the right of the y-axis and 5 units above the x-axis.

When you reflect point (4, 5) over the x-axis, the new point is still 4 units to the right of the y-axis, so its x-coordinate is still 4. The distance that was above the x-axis now is below the x-axis, so the y-coordinate is -5.

Answer: (4, -5)

Find the slope
-5/4
4/5
-4/5

Answers

Answer:

The slope of the line is [tex]\frac{4}{5}[/tex] ⇒ B

Step-by-step explanation:

You can find the slope of a line using any two points on the line (x1, y1) 1nd (x2, y2) by using this rule [tex]m=\frac{y2-y1}{x2-x1}[/tex]

Let us use this rule to answer the question

From the attached graph:

∵ The given line passes through points (-1, -2) and (4, 2)

→ That means point (x1, y1) = (-1, -2) and point (x2, y2) = (4, 2)

x1 = -1 and x2 = 4

y1 = -2 and y2 = 2

→ Substitute their values in the rule of the slope above

∴ [tex]m=\frac{2--2}{4--1}=\frac{2+2}{4+1}=\frac{4}{5}[/tex]

The slope of the line is [tex]\frac{4}{5}[/tex]

Evaluate the expression 4.02 + 3y for x = 5 and y =6

Answers

4.02 + 18 = 22.02
Hope this helps:)

Solve the system of equation

Answers

Just click these pictures to give you the answer or idea of what you need.
Fort the first equation just click on the photo and for the second it’s x-y=-1

Answer:

x= 3, y= 8

or x= -1, y= 0

Step-by-step explanation:

y= 2x² -2x -4 -----(1)

y -2x= 2

y= 2x +2 -----(2)

Substitute (1) into (2):

2x² -2x -4= 2x +2

2x² -2x -4 -2x -2= 0 (bring all terms to the left)

2x² -4x -6= 0 (simplify)

x² -2x -3= 0 (÷2 on both sides)

(x -3)(x +1)= 0 (factorise)

x -3= 0 or x +1= 0

x= 3 or x= -1

Substitute into (2):

y= 2(3) +2 or y= 2(-1) +2

y= 6 +2 or y= -2 +2

y= 8 or y= 0

An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on the number of engines made. If engines are made, then the unit cost is given by the function . What is the minimum unit cost?C(x)=x^2-520x+73458

Answers

Answer:

Minimum unit cost = 5,858

Step-by-step explanation:

Given the function : C(x)=x^2−520x+73458

To find the minimum unit cost :

Take the derivative of C(x) with respect to x

dC/dx = 2x - 520

Set = 0

2x - 520

2x = 520

x = 260

To minimize unit cost, 260 engines must be produced

Hence, minimum unit cost will be :

C(x)=x^2−520x+73458

Put x = 260

C(260) = 260^2−520(260) + 73458

= 5,858

Which triangle correctly shows that the side opposite the larger angle is the larger side? A triangle has side lengths of 13, 5, 10 and angle measures of 30 degrees, 100 degrees, and 50 degrees. A triangle has side lengths of 5, 5, 5 and angle measures of 60 degrees, 60 degrees, 60 degrees. A triangle has side lengths 5, 13, 12 and angle measures of 90 degrees, 67 degrees, 23 degrees.

Answers

Answer:

C) is your choice

Step-by-step explanation:

Other Questions
I will mark BRAINLIEST Which of the following does not occur in an aquatic ecosystem as a result of nutrient loading?a. acidification of the waterb. algae growth as a result of eutrophicationc. degraded quality of water for human and livestock consumptiond. improved water habitats for human recreation Study the two text features in Coral Reefs at Risk. How do the text features provide clues to the authors viewpoint about coral reefs? Discuss both text features. 1. Nature can be the most dangerousfor an athlete who practices extreme sports.A.boundary B.opponent C.role model D.pain Fort Corporation had the following transactions during its first month of operations: 1. Purchased raw materials on account, $85,000. 2. Raw Materials of $30,000 were requisitioned to the factory. An analysis of the materials requisition slips indicated that $6,000 was classified as indirect materials. 3. Factory labor costs incurred were $175,000 of which $145,000 pertained to factory wages payable and $30,000 pertained to employer payroll taxes payable. 4. Time tickets indicated that $145,000 was direct labor and $30,000 was indirect labor. 5. Overhead costs incurred on account were $198,000. 6. Manufacturing overhead was applied at the rate of 150% of direct labor cost. 7. Goods costing $115,000 are still incomplete at the end of the month; the other goods were completed and transferred to finished goods. 8. Finished goods costing $100,000 to manufacture were sold on account for $130,000. a= 18 in.C = 82 in.What is the length of b? Question 2 A man ran 20 miles in 2 hours. Calculate the average time that it took the man to run each mile in minutes. Robert is moving and must rent a truck. In addition to an initial fee, the rental company charges a fee of $1.50 per mile driven. If Robert were to drive 4 miles, the total cost would be $26. Write an equation for C, in terms of m,m, representing the total cost of renting the truck if Robert were to drive mm miles. Write the given equation in STANDARD FORM (slope standard form)y = 2x + 3/7 Im sorry but i need the answer to this question to... Help Please!!How does King George III's character view the colonists? Support your answer with lyrics from the song "You'll be back" from Hamilton AAAAAAAAAAAAAAAAAAHHHHHHHHHHHH select the three sections of the declaration of independence what are the dimensions of development? What is the second paragraph to Desposito The ratio of boys to girls in homeroom is 2:3. If there are 8 boys, how many girls are there? Do not include units. A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk ? Write the ratio in fractional notation in lowest terms.5 megabytes to 22 megabytesThe ratio is (Type the ratio as a simplified fraction.) The letter tiles are all mixed up. Use the family tree from Lock 4 to match the questions with their answer 5 grams is thes than greater than or equal too 508mg Which best describes the solution set of the compound inequality below? 2 + x 3x 6 12 4 x 9 4 x 6 2 x 2 2 x 3