-8x−2y=24 5x−3y=2 solve for y and x

Answer 1

Solving the given system of equations:

1. -8x - 2y = 24
2. 5x - 3y = 2

First, let's rearrange equation 1 to solve for y:

-2y = 24 + 8x
-2y = 8x + 24
y = -4x - 12 (divide by -2 on both sides)

Substitute this expression for y into equation 2:

5x - 3(-4x - 12) = 2
5x + 12x + 36 = 2
17x + 36 = 2
17x = -34
x = -2

Now that we have the value of x, we can substitute it back into the expression for y:

y = -4(-2) - 12
y = 8 - 12
y = -4

Therefore, the solution to the system of equations is:
x = -2
y = -4