Question

Which of the following equations have exactly one solution?

Choose all answers that apply:
A. −5x+12=−12x−12
B. −5x+12=5x+12
C. −5x+12=5x−5
D. −5x+12=−5x−12

Answer 1

A, B, & C

Explanation:

A: -5x +12 = -12x - 12

+12x +12x

7x + 12 = -12

-12 -12

7x = -24 [Divide both sides by 7 to get x]

x = -24/7

B: −5x + 12 = 5x + 12

-5x -5x

-10x + 12 = 12

-12 -12

-10x = 0 [Divide both sides by -10 to get x]

x = 0

C: −5x + 12 = 5x − 5

-5x -5x

-10x + 12 = -5

-12 -12

-10x = -17 [Divide both sides by -10 to get x]

x = 17 / 10

D: −5x + 12 = −5x − 12

+5x +5x

12 ≠ -12 [The statement is false, so it isn't the correct answer]