Solve the system of equations. what is x and y

−2x+15y=−24
2x+9y=24

−2x+15y=−24

2x+9y=24

Add the two equations together.

-2x +2x = 0

15y + 9y = 24y

-24+24 = 0

The two equations when added become:

24y = 0

Solve for y:

divide both sides by 24:

y = 0/24 = 0

The value of Y is 0

Now replace Y in one of the equations and solve for x:

2x+9(0) = 24

2x + 0 = 24

2x = 24

Divide both sides by 2:

x = 24/2

x = 12.

The value of x is 12

The solution is (12,0)

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )