Elimination Method: 6x - 4y = -24 and 4x + 5y = -2

Answers

Answer 1

Answer:

[tex](-2;-6)[/tex]

Step-by-step explanation:

First of all, let's rewrite the first one after dividing both sides by 2.

[tex]\left \{ {{3x-2y=-12\atop {4x+5y=-2}} \right.[/tex]

Now, let's pick one you want to eliminate.

Eliminating x: Let's multiply the first one by 4, the second by 3, and subtract one from the other. Rest is simply solving an equation in one variable

[tex]4I-3II : 12x-8y-12x+15y = -48 - (-6)\\7y = -42 \rightarrow y= -6[/tex]

Eliminating y: Let's multiply the first by 5, the second by 2, and add them together. Rest is simply solving an equation in one variable

[tex]5I+2II: 15x -10y +8x +10y = -60 +4\\23x = -56 \rightarrow x=-2[/tex]


Related Questions

Natalie walked 35 mile in 12 hour. How fast did she walk, in miles per hour?

a. 3/10 mile per hour

b. 5/6 mile per hour

c. 1 1/5 miles per hour

d. 2 miles per hour

Answers

Answer:

almost 3 mph so I'm guessing (d) is the answer

Step-by-step explanation:

35  ÷ 12 = 2.9 miles per hour

How to predict the charge of monatomic ions.

Answers

Answer:

by gaining or losing electrons

Step-by-step explanation:

hope it helped

brainliest pls

Jill is buying a cookie kit to decorate cookies for her children during the holiday break. She will pay $2.50 per cookie and a $4 service fee. Which equation can be used to find y, the total cost to buy x cookies?

Answers

Answer:

4 + 2.5x=cost

Step-by-step explanation:

Between which two integers does the square root of 117 lie

Answers

Answer: 10 and 11 or -11 and -10

Answer:

Step-by-step explanation:

10 and 11 or -10 and -11

How many square metres of wallpaper are needed to cover a wall 8 metres long and 3 metres high? Can some one help me with this please?​

Answers

Answer:

24 square meters of wallpaper

Step-by-step explanation:

Hope this helps.

[tex]\boxed{\sf x+3=12}[/tex]

Answers

Answer:

x = 9

Step-by-step explanation:

x+3 = 12x+3-3 = 12-3x = 9

Answer:

x=9

Step-by-step explanation:

[tex]x+3=12[/tex]

[tex]x+3-3=12-3[/tex] ( Subtract 3 from both sides)

[tex]x=9[/tex]

the answer is B:
I just did the question

Answers

the answer is B: thanks

Answer:

huh? did you mean to send in tgis as a question or something???

Daniella has 130 baseball cards. She buys new cards to her collection every month. Which arithmetic sequence describes the number of cards in her collection?

Answers

Answer:

a1=130;an=an−1+10

Step-by-step explanation:

The answer is the third one.

She starts with 130

a1 = 130

She adds 10 every month.

So you take the number she had last month (represented by a_n-1) and adds 10.

Answer

a1 = 130

an = an_1 + 10

C

13. Find the distance between (-9, -1) and (-2,-6). Round to the nearest tenth.
A) 8.6
B) 12.1
C) 9.9
D) 13.0

Answers

Answer:

(A) 8.6

Step-by-step explanation:

distance =√((x_2-x_1)²+(y_2-y_1)²)

the actual distance is 8.602325.

rounded distance is 8.6

Geometry help me!
Extra points!

Answers

Answer:

71

Step-by-step explanation:

[tex]\sqrt{54} \times \sqrt{54}[/tex]

Answers

Answer:

 19.9202745546

Step-by-step explanation:

54 will be your answer...

Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price.
What was the cost for 111 comic book?
\$

Answers

Answer:

$3.50

Step-by-step explanation:

111 is a sixth of 666 so its 21/6 which is 3 dollars 50 cents.

Daphne gave away 3 more than half of her apples. she gave awya 17 apple in all. How many apples did Daphne have originally?

Answers

Answer:

28

Step-by-step explanation:

Can someone please help I will give you 30 points and brainliest if the answer is right also no links please

Answers

Answer:

HL.

Step-by-step explanation:

Triangles  FEH and FGH are congruent

They are both right angles and the  hypotenuse and  a leg ( the side FH) are both equal in length.

85/8 rounded to the nearest tenth

Answers

Answer:

85/8 = 10.625

= 10.6

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

When divding numbers with the same base you________ the exponents

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

When divding numbers with the same base you subtract the exponents ~

Answer:

subtracts

Step-by-step explanation:

hope this helps

Help Plz this is due tomorrow
Write slope-intercept form of a linear equation

(1,5) and (3,9)
(5,8) and (3,2)
(1,-5) and (0,3)
If you can, when you answer can you put the steps plz
thx

Answers

(1,5) and (3,9)

[tex]y = 2x + 3[/tex]

(5,8) and (3,2)

[tex]y = 3x - 7[/tex]

(1,-5) and (0,3)

[tex]y = - 8x + 3[/tex]

First you need to plot the pointsThen you will find the slope (m), by using rise over runThen we will find the y-intercept (b). To find the y-intercept, choose one of the points on the line.Then you write the equation in slope intercept form (y = mx + b)

Hope this will help:)

A customer in a coffee shop purchases a blend of two coffees: Kenyan, costing $3.50 a pound, and Sri Lankan, costing $5.60 a pound. He buys 3 lb of the blend, which costs him $11.55. How many pounds of each kind went into the mixture

Answers

Answer:

10.55.

Step-by-step explanation:

no

432 women attended a conference. Women made up 72% of the total conference attendees.

Men made up the other 28% of attendees.

How many men attended the conference?

Answers

Answer:

168

Step-by-step explanation:

If entire number of attendees = y

then number of women = y* (72/100)

since y* (72/100) = 432 ( given)

y =( 432*100)/72

so, y = 600

since men made up the remaining 28% of attendees ,

number of men = y * (28/100) = 600* (28/100)

number of men = 168

yoo I don't understand this pls help :))

geometry ​

Answers

Answer:

At the bottom of the text.

Step-by-step explanation:

The triangle is isosceles. The measure of the two internal angles J and K are equal; The misure of the external K angle (2) is half a circle minus the internal K (1). The internal angle in R is calculated by difference between 180 and twice the internal K angle (1).

1. 72° as well.

2. 180-70-70 = 40°

3. [tex]m\angle2 = 110 \rightarrow m\angle1 =70[/tex], Same as #2: 40°

4. [tex]x+2x+2x = 180 \rightarrow 5x=180 \righarrow x= 36[/tex]

5. [tex]x +(x+30)+(x+30) = 180 \rightarrow 3x +60 = 180 \rightarrow 3x= 120 \rightarrow x=40[/tex]

For which of the following inequalities, is -4 part of the solution set? Select all that apply. A. x > -5 . B. 2 > X . C. 3x + 4 > -8 D. 5x < 2x - 3 E. ---6 < 4 - 2x​

Answers

[tex]-4[/tex] is a part of the solution set to all of the inequalities

We will consider each inequality in turn:

For [tex]x>-5[/tex]:

The solution set is [tex]\{{-4,-3,-2,-1,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]x>-5[/tex]

For [tex]2>x[/tex], or [tex]x<2[/tex]:

The solution set is [tex]\{{1,0-1,-2,-3,-4,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]2>x[/tex]

For [tex]3x+4\ge -8[/tex]:

We have to solve first

[tex]3x+4\ge -8\\3x\ge -8-4\\3x\ge -12\\x\ge -4\\[/tex]

The solution set is [tex]\{{-4,-3,-2,-1,0,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]3x+4\ge -8[/tex]

For [tex]5x\le 2x-3[/tex]:

We have to solve first

[tex]5x\le 2x-3\\5x-2x\le-3\\3x\le-3\\x\le-1[/tex]

The solution set is [tex]\{{-1,-2,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]5x\le 2x-3[/tex]

For [tex]-6<4-2x[/tex]:

We have to solve first

[tex]-6<4-2x\\2x<4+6\\2x<10\\x<5[/tex]

The solution set is [tex]\{{4,3,2,...,-3,-4,-5,...\}[/tex]

So [tex]-4[/tex] is a part of the solution set of [tex]-6<4-2x[/tex]

So, [tex]-4[/tex] is a part of the solution set of all the inequalities.

Learn more about inequalities here: https://brainly.com/question/278997

What coordinates do I plot at

Answers

Answer:

Step-by-step explanation:

y - 10 = -2(x - 10)

y - 10 = -2x + 20

y = -2x + 20 + 10

y = -2x + 30

When x = 0  ;   y = 0 + 30 = 30         ;  (0,30)

When x = 10 ;   y = -2*10 + 30 = -20 +30 = 10   ; (10 , 10)

When x = 5  ;  y = -2*5 + 30 = -10 + 30 = 20    ; (5 , 20)

Plot ( 0 ,30) ; (10,10)  & (5,20)

pls I need a step by step on how to solve
2+4=6−2

Answers

Answer:

4

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

x          

 (— -  6) -  2  = 0

  4          

6     6 • 4

   6 =  —  =  —————

        1       4

x - (6 • 4)     x - 24

———————————  =  ——————

     4            4

 (x - 24)    

 ———————— -  2  = 0

    4        

        2     2 • 4

   2 =  —  =  —————

        1       4

(x-24) - (2 • 4)     x - 32

————————————————  =  ——————

       4               4

 x - 32

 ——————  = 0

   4  

x-32

 ———— • 4 = 0 • 4

  4  

x-32

helpppppp asapppppp pls
A: 80°
B: 75°
C: 110°
D: 95°

Answers

It’s 80 because it is the same shape just flipped which means it has the same angles

Answer:

A. 80 degrees

Step-by-step explanation:

the equation at the top tells you that they are the same shape so you just need to find which angle one the first shape is equal to the angle H

You have been saving your money to buy a new pair of shoes. Three different stores are having a sale on them. Which store has the best deal?

Store A
Original Price: $70
Take 10% off.
Then, take 10 percent off that price.

Store B
Original Price: $80 Take $15 off.
Then, take 10 percent off that price.

Store C
Original Price: $90
Take 10% off.
Then, take $20 off that price.
A) Store A
B) Store B
C) Store C

Answers

Answer:

Store A would be the least expensive.

Step-by-step explanation:

Store A

70*0.10=7

70-7=63

63*0.10=6.30

63-6.30=57.70

$57.70

Store B

80-15=65

65*0.10=6.50

65-6.50=58.50

$58.50

Store C

90*0.10=9

90-9=81

81-20=61

$61

Hi guys can you please help me??
THANK YOU SO MUCH

Answers

Answer: it’s 320cm^2

Step-by-step explanation:

Q5. Here is a list of eight numbers
(Total for questio
4 5 4 25 29 30 33 39 40
From the list, write down
(i) a factor of 20
(ii) a multiple of 10
(iii) the prime number that is greater than 15
(Total for Questi
maths

Answers

Hi ;-)!

Here, from the options given, the answers are:-

i) 4 & 5

ii) 30

iii) 29

60x4= blank tens x 4 = blank tens = blank

Answers

Answer:6 tens

Step-by-step explanation:

Simple. 60 equals 6 tens so blank equals 6 tens

Blank tens = 6

Hope this helps :)

PARALLEL PERPENDICULAR OR NEITHER

Answers

Neither. They cross through each other (meaning they’re not parallel) but it doesn’t make a 90 degree angle so it’s not perpendicular

Will give brainliest

What is the equation of a line that is parallel to 2x+5y=10 and passes through the point (5, -4)?

Enter your answer in slope-intercept form (y=mx+b) in the box

Answers

Answer: The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

Step-by-step explanation: The equation of a straight line is given by:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

The slope of the line 2x + 5y = 10 is:

2x + 5y = 10

5y = -2x + 10

y = -2/5x + 10

Hence the slope of the line 2x + 5y = 10 is -2/5

Since both lines are parallel, hence the slope of the other line is the same (-2/5). Hence the equation of the line is:

The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

2x+5y=10

Isolate y

[tex]\\ \sf\longmapsto 5y=-2x+10[/tex]

[tex]\\ \sf\longmapsto y=-2/5x+2[/tex]

m=-2/5

Parallel line has equal slope

Equation of line in point slope form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y+4=-2/5(x-5)[/tex]

[tex]\\ \sf\longmapsto 5y+20=-2x+10[/tex]

[tex]\\ \sf\longmapsto 2x+5y+10=0[/tex]

Other Questions
How many molecules of Oxygen gas are there on the reactant side of this equation?C2H6 + 402 -> CO2 + H2OO2O304O8 Will mark brainliest!!! Summarize how you would incorporate a command with any type of pronoun and how you get commands working with pronouns. Try to explain it with a lot of words I need it to be long so draw out some stuff. What is an electron cloud 5th grade short answer. Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.x2 + (y 3)2 = 36x2 + (y 5)2 = 6(x 4) + y = 36(x + 6) + y = 144x2 + (y + 8)2 = 36 Anthony is building a cube-shaped box to store some of his smaller crafting supplies. The formula for the surface area of a cube is SA=6s2, where s is the side length of the cube. If he has a total of 200 in.2 of cardboard, can Anthony build a box where s=6 in.?No, he needs 16 in.2 more cardboard.No, he needs 232 in.2 more cardboard.Yes, he will have 56 in.2 of cardboard left over.Yes, he will have 128 in.2 of cardboard left over If h(x)=5x+7, then h(x) has a zero at which of the following values? (1) -5(2) 7(3) -1.4 Match the description to the type of essay.1. teaches the reader something about a literary work descriptive essay 2. appeals to the five senses comparison and contrast essay 3. its main purpose is to present information to the reader expository essay 4. tells a story critical essay 5. shows the similarities and differences between two subjects narrative essay 6. tries to convince the reader persuasive essay brainliest chose a point below that lies on the function y -10=-3(x-2)(2,10)(-3,2)(-2,-3)(10,2) Armstrong's first footprint is still visible on the surface of the Moon. We know this eventhough no one has returned to the moon in over 30 years. How can we know this for sure? Consider the market for land in central Pennsylvania, where land is used mainly for growing agricultural goods, as compared to the market for land in Rittenhouse Square, a small section of Philadelphia known for its cafes and shopping. Because the supply of land in central Pennsylvania is_____, buyers in central Pennsylvania pay____for use of the land. The rental price of land is much lower in central Pennsylvania than in more densely populated areas like Rittenhouse Square. One possible explanation for this rent difference is that highly productive land is in low____. Some entrepreneurs decide to build parking lots in Rittenhouse Square. The supply curve for land to be used for parking lots is_____. I just need 15. PLEASE HELP What is the slope of the line that passes through the points (9, 1) and (17, 2) A: 8/15B: 8/1C: 1/8D: 15/8 Hereditary spherocytosis (HS) is a disorder of red blood cells that causes the cells to be smaller and spherical instead of having the usual flattened, biconcave shape. The average diameter of normal red blood cells is 7.2m, and the average diameter of red blood cells in a person with HS was found to be 6.7m. The normal red blood cell has an average surface area of 136m2 and an average volume of 91m3.Which of the following provides an accurate calculation of the surface area to volume ratio of an HS red blood cell, as well as a prediction of its effect on the efficient transferring of oxygen compared to a normal red blood cell? When you float an ice cube in water, you notice that 90% of it is submerged beneath the surface. Now suppose you put the same ice cube in a glass of some liquid whose density is less than that of water. How to find standard deviation from true probability and sample size. Chemical properties of water for class 8 Find the difference of 651 Which relation is not a function? 20x29 devided by 9+20=?help Write imagery about racism