Question

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.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

To solve for the value of x, the steps to take include:

• Subtract 1/2 from both sides
• Multiply both sides by 7/6
• Alternatively, you can divide both sides by 6/7

$x = \frac{7}{16}$

Given the fraction equation, $\frac{6}{7}x + \frac{1}{2} = \frac{7}{8}$, to solve for x, the following steps would be taken:

Step 1: Subtract 1/2 from both sides of the equation

$\frac{6}{7}x + \frac{1}{2} - \frac{1}{2} = \frac{7}{8} - \frac{1}{2}\\\\\frac{6}{7}x = \frac{7}{8} - \frac{1}{2}\\\\\frac{6}{7}x = \frac{3}{8}$

Step 2: Multiply both sides by 7/6 (alternatively, you can divide both sides by 6/7)

$\frac{6}{7}x \times \frac{7}{6} = \frac{3}{8} \times \frac{7}{6}\\\\x = \frac{21}{48}$

• Simplify further:

$x = \frac{7}{16}$

Therefore, to solve for the value of x, the steps to take include:

• Subtract 1/2 from both sides
• Multiply both sides by 7/6
• Alternatively, you can divide both sides by 6/7

$x = \frac{7}{16}$

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