Question

hich ordered pairs in the form (x, y) are solutions to the equation 4x−5y=24 Select each correct answer. (1, −4) (4, 8) (6, 0) (−9, −12)

Answer 1

(1, - 4), (6, 0), (- 9, - 12)

Explanation:

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

(1, - 4)

(4 × 1) - (5 × - 4) = 4 - (- 20) = 4 + 20 = 24 ← this is a solution

(4, 8 )

(4 × 4) - (5 × 8) = 16 - 40 = - 24 ← not a solution

(6, 0 )

(4 × 6) - (5 × 0) = 24 - 0 = 24 ← this is a solution

(- 9, - 12 )

(4 × - 9) - (5 × - 12) = - 36 - (- 60) = - 36 + 60 = 24 ← this is a solution