Question

Which ordered pairs in the form (x,y) are solutions to the equation 4x-5y=24? Select each correct answer.

A. (-9,-12)
B. (6,0)
C. (4,8)
D. (1,-4)​

Answer 1

The correct answers are A, C and D.

Explanation:

Given the equation 4x - 5y = 24, we substitute the coordinates of the given points to determine whether the equation is then true or not true.

For example, if we focus on point B: (6, 0), x = 6 and y = 0 and the equation becomes 4(6) - 5(0) = 24, which is TRUE.

Doing the same thing with A: (-9, -12), we get 4(-9) - 5(-12) = 24, which is also TRUE.

Check out C: (4, 8): 4(4) - 5(8) = 24. This is FALSE.

Check out D: (1, -4): 4(1) - 5(-4) = 24. This is TRUE.

The correct answers are A, C and D.