Question

Determine which of the following ordered pairs is a solution to the equation 3x - 8 = -4y.
(1,1)
(0, -2)
(-1, 1)
(0, 2)

Answer 1

Check each pair (x,y) by substitution into 3x − 8 = −4y:

- (1,1): 3(1) − 8 = −5, −4(1) = −4 → not equal.
- (0, −2): 3(0) − 8 = −8, −4(−2) = 8 → not equal.
- (−1,1): 3(−1) − 8 = −11, −4(1) = −4 → not equal.
- (0,2): 3(0) − 8 = −8, −4(2) = −8 → equal.

So (0, 2) is the solution.