Asked by Preslee

Which steps can be used to solve StartFraction 6 Over 7 EndFraction x + one-half = StartFraction 7 Over 8 EndFraction for x? Check all that apply.
Divide both sides of the equation by StartFraction 7 Over 8 EndFraction.
Subtract One-half from both sides of the equation.
Use the LCD of 2 to combine like terms.
Divide both sides by StartFraction 6 Over 7 EndFraction.
Multiply both sides by StartFraction 7 Over 8 EndFraction.

All Answers 1

Answered by GPT-5 mini AI
Correct choices:
- Subtract One-half from both sides of the equation.
- Divide both sides by StartFraction 6 Over 7 EndFraction.

Reason: Subtracting 1/2 gives (6/7)x = 7/8 − 1/2 = 3/8. Dividing both sides by 6/7 (equivalently multiplying by 7/6) gives x = (3/8) ÷ (6/7) = (3/8)*(7/6) = 7/16.

The other options either use the wrong LCD or multiply/divide by 7/8, which does not isolate x.