Question

Which of the following points is a solution to the system of equations shown?

4x + y = 1
y = x + 6
(5, -1)
(0,6)
(-1,5)

Answer 1

(-1, 5)

Explanation:

Rearrange the the first equation to have y on one side and all other values on the other side

y = 1 - 4x

since both of the equations are equal to y, set them equal to each other an solve for x.

1 - 4 x = x + 6

-5 = 5 x

x = -1

plug this back into the second equation to get y = 5