Question

The system of equations shown below is graphed on a coordinate grid:3y + x = 62y − x = 9Which statement is true about the coordinates of the point that is the solution to the system of equations? (It is (−6, 4) and lies on both lines.It is (−6, 4) and does not lie on either line.It is (−3, 3) and lies on both lines.It is (−3, 3) and does not lie on either line.

Answer 1

From the two equations

3y + x = 6 -----(1)

2y − x = 9 ------(2)

Adding (1) and (2)

=> 5y = 15

=> y = 3

when y = 3

=> 2(3) - x = 9

=> x = 6 - 9

=> x = -3

It is (−3, 3) and lies on both lines.