Find the solution of the system of equations.
−2x+9y= -17
-x - 3y = -1

Answers

Answer 1
x=4 y=-1 (4,-1) this is the answer
Answer 2

Answer:

x = 4 and y = −1

(4, -1)

Step-by-step explanation:

I going to solve this system of equations by elimination. (You could also solve by substitution too.)

Multiply the first equation by 1, and multiply the second equation by -2.

1(−2x+9y= -17)

-2(-x - 3y = -1)

Becomes:  

−2x + 9y = −17

2x + 6y = 2

Add these equations to eliminate x:

15y = −15

15y/15 = -15/15

y = -1

Now we solve for x:

-x -3(-1) = -1

-x + 3 = -1

     -3   -3

-x = -4

x = 4

Hope this helped!


Related Questions

The list shows the growth in centimeters of students in two years.

6, 7, 8, 8, 8, 8, 9, 9, 10, 11, 11, 12, 14

Which box plot best displays a summary of these data?

Answers

Answer:

D

Step-by-step explanation:

Answer.

Step-by-step explanation:

If n/12 = 15/36 , then n= ___.
pls help me!

Answers

Answer: n=5

have an amazing day <3

n x ? = 15
12 x ? = 36

12 x 3 =36
15 / 3 = 5

N= 5

Alonzo and Miguel scored a total of 40 points in a basketball game. Miguel scored four more points than twice Alonzo's score. show many points did Miguel score?

Answers

Answer:

28

Step-by-step explanation:

I don’t know how to do this, please explain :(

Answers

Answer:

1. Adjacent and formed a linear pair

2. Adjacent and formed a linear pair

3. Adjacent

4. Not adjacent

Step-by-step explanation:

In essence, adjacent angles are two angles side by side. Two adjacent angles can form a linear pair when they are created by two lines intersecting. So, in broad terms, they are adjacent on a flat plane (or a straight line), and together they make a 180° angle.

explain truth tables and how they work​

Answers

A truth table is a way of organizing information to list out all possible scenarios. We title the first column p for proposition. In the second column we apply the operator to p, in this case it's ~p (read: not p). So as you can see if our premise begins as True and we negate it, we obtain False, and vice versa.


SOMEONE HELP ME WITH THIS 4 problems plz i will give brainlist!!

Answers

Answer:

Sphere = 113.1

Triangular prism = 30

Rectangular prism = 726

Cone = 452.39

Step-by-step explanation:

have a nice day!

A tax exempt employee benefit is usually more adavantages to the employee than a tax deferred benefit

Answers

Answer:

Step-by-step explanation:

Yes, it is, more or less. This is because with a tax-deferred account, tax savings are gotten when you make contributions, but when it then comes to a tax-exempt account, the withdrawals are instead free of tax during retirement.

In a tax-deferred account, you can make immediate tax deductions as much as the full amount of your intended contribution, but then, subsequent withdrawals from the same account will be taxed at the normal income rate.

On the other hand, tax-exempt accounts don't deliver a tax benefit, particularly when you contribute to the them, they provide tax benefits that comes much later

Please help I have been stuck for a while

Answers

Answer: 6.3

c^2 = a^2 + b^2

c^2 = 2^2 + 6^2

c^2 = 4 + 36

c^2 = 40

c = 6.32455532

I need help if you answer correct I will give brainiest

Answers

Answer:

Opaque

Step-by-step explanation:

Translucent materials, like greaseproof paper and frosted glass, let some but not all light through. They scatter or diffuse the light. Most materials do not allow light through at all and these are called opaque. (The second question is light)

Answer:

opaque, Radiant

Step-by-step explanation:

Opaque can not be seen through and radiant is an energy that can travel through space.

Help I’ll give brainliest!

Answers

Answer:

-5

Step-by-step explanation:

Gradient/ slope = [tex]\frac{-8-7}{ 5-2}[/tex](change in y/ change in x)

= [tex]\frac{-15}{3} = -5[/tex]

Can someone please help me find the area of the semicircle

Answers

Answer:

The area of each semicircle is (1/2)25(pi) for a total of 25pi.

A student can type 2 3 of a page in 1 5 hour. How many pages can the student type in an hour?
Need this asap

Answers

Answer:

2/15

Step-by-step explanation:

find a common denominator:

3, 6, 9, 12, 15

5, 10, 15

the common denominator is 15.

add by how many times you added 3 and 5.

3+4=7/15

do the same with 5 and subtract the answers:

7/15-5/15= 2/15

Answer:

2/15

Step-by-step explanation:

What is the solution to the equation 4w=2/3?

w=2/12

w=2/7

w=8/3

w=3 1/3

Answers

Answer:

2/12

Step-by-step explanation:

4w=2/3

1/4(4w)=1/4 x 2/3

w=2/12

Item 11
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)

Answers

Answer:

4 ft higher

Step-by-step explanation:

Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.

So, by Pythagoras' theorem,

10² = 6² + d²  (the length of the ladder is the hypotenuse side)

d² = 10² - 6²

d² = 100 - 36

d² = 64

d = √64

d = 8 ft

Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.

Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).

Now, applying Pythagoras' theorem to the ladder with these new lengths, we have

10² = (6 + x)² + (8 - 2x)²

Expanding the brackets, we have

100 = 36 + 12x + x² + 64 - 32x + 4x²

collecting like terms, we have

100 = 4x² + x² + 12x - 32x + 64 + 36

100 = 5x² - 20x + 100

Subtracting 100 from both sides, we have

100 - 100 = 5x² - 20x + 100 - 100

5x² - 20x = 0

Factorizing, we have

5x(x - 4) = 0

5x = 0 or x - 4 = 0

x = 0 or x = 4

The top of the ladder is thus 4 ft higher

In science class, students are mixing water and a citric acid solution. The table shows how much water and acid solution two students use. Whose mixture is more acidic?

Answers

Answer:

the one with the most parts citric acid

Step-by-step explanation:

no tables were provided but if a cup is 3/4 water and 1/4 citric acid and the other is 1/4 water and 3/4 citric acid then it's the second one. Basically it the one with the most citric acid.

Add fill in the blanks
I need help can y’all help me

Answers

Answer:

Step-by-step explanation:

11, 10 (first side)

10,7 (2 side)

At a point 70 feet from a tree, a forester measures the angle of elevation to the top of the tree to be 62°. How tall is the tree to the nearest foot?

Answers

Answer:

The tree is about 62ft tall

Step-by-step explanation:

sin(62)=x/70

70sin(62)=x

61.8=x

Solve for X pleaassee help

Answers

The answer is 1 because 20 times 1 plus 1 is 21.

16-11-13-5-10 2-15-18 13-23 8-11-17 11-12 22-11-12-19 decode message

Answers

Answer:

16-11-13-5-10 => P-K-M-E-J

2-15-18 => B-O-R

13-23 = > M-W

8-11-17 => H-K-Q

11-12 => K-L

22-11-12-19 => V-K-L-S

Step-by-step explanation:

Given

See attachment for code key

Required

Decode

16-11-13-5-10

2-15-18

13-23

8-11-17

11-12

22-11-12-19

From the code key, we can see that each number represent the alphabet at that position;

To do this, we simply replace each number with the alphabet they represent.

So, we have:

16-11-13-5-10 => P-K-M-E-J

2-15-18 => B-O-R

13-23 = > M-W

8-11-17 => H-K-Q

11-12 => K-L

22-11-12-19 => V-K-L-S

Answer:

do you just need the letters or... cuz the letters dont spell anything

Step-by-step explanation:

Write the numbers -2.1, -1.8, -2.5 and -2.7 from greatest to least.​

Answers

Answer:

-1.8, -2.1, -2.5, -2.7

hope it helps.

Please help ASAP!!!
Two small planes leave Sacramento and LA, which are 380 miles apart, and travel toward each other. If one plane travel 30 miles per hour faster than the other plane and they meet in one hour, what are their respective speeds?
Thank you, thank you, thank you!!

Answers

Let the speed of the first plane be x then the speed of the second plane would be x + 30

The combined speed is x + x + 30 = 2x + 30

2x + 30 = 380

Subtract 30 from both sides

2x = 350

Divide both sides by 2

X = 175

The speed of the first plane was 175 miles per hour the speed of the second plane was 205 hour

Who here absolutely hxtes school.(and hxte is such a strong word I despise school)???.........because teachers constantly pack work on you and don't stop til you get tired and then you don't do the work at all, but they have the nerve to call you "lxzy" when you have been really working hard on your grades and your parents can't understand why you are about to fail so they try and compare school then and school now but you get annxyed because everyone knows school has changed and with the pandemic they have no right to call you "ungrxteful"......On top of that you have three major test coming up because school isn't even about learning it's about passing with all this stxpid irrelevant extra algebra they teach in math...that had no affect on the career you wanna do or what you want to do in your life.....but apparently in school they want you to be under pressure and stressed out....school is the reason i need ther.apy, school is apart of the reason why I don't like existing that much, and school is the reason why i have anx.iety and i feel my self slowly slipping into depr.ession.......ya know what lets just call this a POV


and if you like school....the LUCKY YOU (enjoy it while you can) smh

Answers

Answer:

Lol

Step-by-step explanation:

I’m sorry you feel that way during the begging of the school year I despised school. Having to go there every day, repeating the same thing, over and over again. But guess what bestie school ends in 2 months at least for me.

4 is 2% of what number

Answers

Answer:

200

Step-by-step explanation:

Step 1: If 2% of a number is 4, then what is 100% of that number? Setup the equation.

4

2%=Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get:

2Y = 4 x 100

2Y = 400

Y = 400

100 = 200

Can someone please help!

Answers

Answer:

- 3+2x/x-3

Step-by-step explanation:

Find the zeros of the expression

Answers

the answer is 4, -5, 3
The answer is B. 4,-5,3

A teenager can wash 2 tables per minute. Write an expression for how many tables they can wash in m minutes. *

Answers

Answer:

2m = x

x being the number of tables

Step-by-step explanation:

2 tables = 1 minute

x tables = m

(cross multiply)

2m = x

x being the number of tables

Find the area of the circle with a diameter of 12 m.
a 95.64 m2
b 112.27 m2
C 113.04 m2
d 210.36 m2

Answers

Answer:

113.04 is our answer

Step-by-step explanation:

When finding Area the formula to do so is

radius x radius x pi

Sense we arent given radius we have to find out whats the radius but we must remember radius is just half of the diameter so since we are given diameter we will just do diameter divided by 2 so 12 ÷ 2 = 6 now that we have are radius we square it thats just a fancy way of saying multiply by itself so 6 x 6 = 36 now we multiply 36 with 3.14 So

3.14 x 36 = 113.04 So c is our answer!

The school that Shawna goes to is selling tickets to a spring musical. On the first day of ticke sales the school sold 7 adult tickets and 7 student tickets for a total of $91. The school took ir $170 on the second day by selling 14 adult tickets and 12 student tickets. Find the price of an adult ticket and the price of a student ticket.​

Answers

Answer:

price of an adult ticket = a = $7

price of a student ticket = s = $6

Step-by-step explanation:

price of an adult ticket = a

price of a student ticket = s

7a + 7s = 91 (1)

14a + 12s = 170 (2)

Multiply (1) by 2

7a + 7s = 91 (1) × 2

14a + 14s = 182 (3)

14a + 12s = 170 (2)

Subtract (2) from (3) to eliminate x

14s - 12s = 182 - 170

2s = 12

s = 12/2

s = 6

Substitute s = 6 into (1)

7a + 7s = 91 (1)

7a + 7(6) = 91

7a + 42 = 91

7a = 91 - 42

7a = 49

a = 49/7

a = 7

price of an adult ticket = a = $7

price of a student ticket = s = $6

The table shows Emily's monthly budget. Emily earns $1,300 a month.

Monthly Budget

Expense Amount of Money
Clothes
$260
Food
$350
Cell phone
$75
College savings
$195
Car payment
$300
Other
$120

Which statement is NOT supported by the information in the table?

Answers

Answer:75

Step-by-step explanation:

Read this carefully please!

Answers

Answer:

A. X=3

B. X=19/5

That the answer for your question.

Step-by-step explanation: Hope this help :D

5(x+1)=20, 5x+5=20, 5x=15, x=3
5x+1=20, 5x=19, X=19/5 or x=3.8
I wrote out the answer because I needed 20 characters
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