Solve the system of equations by substitution.

−4x+4y=−40

y=3x−4

This question requires you to show your work.

(1 point)
Responses

(−3,−13)
open paren negative 3 comma negative 13 close paren

(3, 7)
(3, 7)

(6, 4)
(6, 4)

(1,−1)

First, substitute the second equation into the first equation:

-4x + 4(3x - 4) = -40
-4x + 12x - 16 = -40
8x - 16 = -40
8x = -24
x = -3

Now that we have the value of x, we can substitute it back into the second equation to find y:

y = 3(-3) - 4
y = -9 - 4
y = -13

Therefore, the solution is (-3, -13).