Solve the system of equations by substitution. x = –4y x + 5y = 2 (1 point) Responses (–8, 2) (–8, 2) (8, –2) (8, –2) (, –) ( Image with alt text: two-ninths , – Image with alt text: eight-ninths ) (–12, 3)
First, we will solve the first equation for x:
x = -4y
Next, we substitute -4y for x in the second equation:
-4y + 5y = 2
Combine like terms:
y = 2
Now we substitute this value of y back into the first equation to find x:
x = -4(2)
x = -8
Therefore, the solution to the system of equations is (-8, 2), so the correct response is (–8, 2).