Question

Which ordered pair is a solution of the equation?

-3x+4y=14

a) only (2,5)
b) only (4,6)
c) both (2,5) and (4,6)
d) neither

Answer 1

(a)

Explanation:

To determine if the points are a solution to the equation.

Substitute the coordinates of the point into the left side of the equation and if equal to the right side then they are a solution.

(2, 5)

- 3(2) + 4(5) = - 6 + 20 = 14 ← True

(4, 6)

- 3(4) + 4(6) = - 12 + 24 = 12 ← False

Thus (2, 5) is the only solution to the equation → (a)