Question

The system of equations shown below is graphed on a coordinate grid:

4y + x = 4
2y − x = 8

Which statement is true about the coordinates of the point that is the solution to the system of equations?

It is (2, 5) and lies on both lines.
It is (−4, 2) and lies on both lines.
It is (2, 5) and does not lie on either line.
It is (−4, 2) and does not lie on either line.

Answer 1

4y + x = 4 . . . . . . . (1)
2y - x = 8 . . . . . . . (2)

(1) + (2) => 6y = 12
y = 12/6 = 2

From (2), 2(2) - x = 8
4 - x = 8
x = 4 - 8 = -4

Therefore solution is (-4, 2) and lies on both lines.