Question

Solve −3 = x/4 + 5 using the replacement set {−32, 8, 32} .

A. −32

B. 8

C. 32

D. I don't know.

Answer 1

The answer is C:-32

Answer 2

A

Explanation:

substitute the values from the replacement set into the right side of the equation to find which values of x make the equation true.

x = - 32

`(-32)/(4)` + 5 = - 8 + 5 = - 3 ← True

x = 8

`(8)/(4)` + 5 = 1 + 5 = 6 ≠ - 3 ← False

x = 32

`(32)/(4)` + 5 = 8 + 5 = 13 ≠ - 3 ← False

the solution is therefore x = - 32