Question

. Which ordered pairs in the form (x, y) are solutions to the equation 7x – 5y = 28?

Choose all answers that are correct.
A. (−6, −14)
B. (−1, −7)
C. (4, 10)
D. (7, 9)

Answer 1

A and B

Explanation:

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

A (- 6, - 14 )

7(- 6) - 5(- 14) = - 42 + 70 = 28 ← true , so solution

B (- 1, - 7 )

7(- 1) - 5(- 7) = - 7 + 35 = 28 ← true , so solution

C (4, 10 )

7(4) - 5(10) = 28 - 50 = - 22 ≠ 28 , not a solution

D (7, 9 )

7(7) - 5(9) = 49 - 45 = 4 ≠ 28 , not a solution