Question

For each ordered pair, determine whether it is a solution to the system of equations.
{y=7x-3
{-14x+2y=-6
Is it a solution?
(2,11) yes or no
(2,-4) yes or no
(0,-3) yes or no
(-1,7) yes or no

Answer 1

You only need to check y = 7x − 3 (the second equation reduces to an identity for any point satisfying the first).

- (2, 11): 11 = 7(2) − 3 = 14 − 3 → yes
- (2, −4): −4 ≠ 11 → no
- (0, −3): −3 = 7(0) − 3 → yes
- (−1, 7): 7 ≠ 7(−1) − 3 = −10 → no