Question

Which ordered pairs are solutions to the equation
2x + 10y = 12?

Answer 1

A pair could be (4,2/5)

Answer 2

(4,2/5) (−5,11/5)

Explanation:

To determine which pairs are solutions, substitute the coordinates into the left side of the equation and if equal to the right side then they are solutions.

(7, - 2)

2(7) + 10(- 2) = 14 - 20 = - 6 ≠ 12 → (7, - 2) is not a solution

(- 5, - 4)

2(- 5) + 10(- 4) = - 10 - 40 = - 50 ≠ 12 → (- 5, - 4) is not a solution

(4, )

2(4) + 10() = 8 + 4 = 12 → hence solution

(- 5, )

2(- 5) + 10( ) = - 10 + 22 = 12 → hence solution