Items Question Solve the system of equations by substitution. −4x+4y=−40 y=3x−4 This question requires you to show your work. (1 point) Responses

Question

(−3,−13)
(1,−1)
(3, 7)
(3, 7)
(6, 4)

show your work. Do not use matrix form. use x+y=answer form

Answer 1

First, substitute y=3x-4 into the first equation:
-4x + 4(3x-4) = -40
Simplify:
-4x + 12x - 16 = -40
8x - 16 = -40
8x = -24
x = -3

Now that we have found 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 to the system of equations is x+y=-3-13=-16. So, the solution is (-3, -13).