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

Using Substitute method:

Replace y value of equation 2 into equation 1:
4x + (x+6) = 1

Solve for x:
4x + x + 6 = 1
5x = 1 - 6
5x = -5
x = -5/5
x = -1

Pick any of the two equation, replace x with it's value -1 and solve for y:
y = (-1) + 6
y = -1 + 6
y = 5

Solution: (-1, 5)