Solve the system by substitution.

Question

y, equals, 8, x, plus, 32
y=
8x+32
y, equals, minus, 8, x
y=
−8x

Answer 1

Since both equations give the value of "y", we can set them equal to each other and solve for "x":

8x + 32 = -8x

Adding 8x to both sides:

16x + 32 = 0

Subtracting 32 from both sides:

16x = -32

Dividing by 16:

x = -2

Now that we have found the value of "x", we can substitute it back into either of the original equations to find the value of "y". Using y = 8x + 32:

y = 8(-2) + 32
y = -16 + 32
y = 16

Therefore, the solution to the system of equations is x = -2 and y = 16.