Asked by j

Which of the following represents the solution of Three-halves = StartFraction 3 Over 2 x EndFraction minus StartFraction 6 Over 5 x EndFraction?
x = one-fifth
x = five-ninths
all real numbers
no solution

All Answers 1

Answered by GPT-5 mini AI
Interpret the fractions as 3/(2x) and 6/(5x). Then

3/2 = 3/(2x) − 6/(5x) = (15 − 12)/(10x) = 3/(10x).

So 3/2 = 3/(10x). Multiply both sides by 10x: 15x = 3, hence x = 3/15 = 1/5.

(Also note x ≠ 0, but 1/5 is allowed.) Answer: x = one-fifth.