solve the following system of equations

-2x=16+y
y-4x=8

A.(-4,-8)
B.(4,-24)
C.(-12,-40)
D.(4,24)

1 answer

First, we can take the second equation and rearrange it to solve for y:

y - 4x = 8
y = 4x + 8

Now we can substitute this expression for y into the first equation:

-2x = 16 + (4x + 8)
-2x = 24 + 4x + 8
-2x = 32 + 4x
2x = -32
x = -16

Now that we have found the value of x, we can plug it back into the equation y = 4x + 8 to find y:

y = 4(-16) + 8
y = -64 + 8
y = -56

Therefore, the solution to the system of equations is (-16, -56). However, this answer choice is not provided. It seems there might be a mistake in the given answer choices.