Q:

PLEASE HELP!! Which steps can be used to solve 6/7x+1/2=7/8 for x? Check all that apply. A. Divide both sides of the equation by 7/8 B. subtract 1/2 from both sides of the equation C. use the LCD of 2 to combine like terms D. divide both sides by 6/7 E. multiply both sides by 7/6

Accepted Solution

A:
Answer:The correct options are:B. subtract 1/2 from both sides of the equation.D. Divide both sided by 6/7E. multiply both sides by 7/6Step-by-step explanation:Consider the provided equation. [tex]\frac{6}{7}x+\frac{1}{2}=\frac{7}{8}[/tex]Subtract 1/2 from both sides of the equation. [tex]\frac{6}{7}x+\frac{1}{2}-\frac{1}{2}=\frac{7}{8}-\frac{1}{2}[/tex][tex]\frac{6}{7}x=\frac{3}{8}[/tex]Multiply both the sides by 7/6.[tex]\frac{6}{7}x\times \frac{7}{6}=\frac{3}{8}\times \frac{7}{6}[/tex][tex]x=\frac{7}{16}[/tex]Now consider the provided options.Hence, the correct options are:B. subtract 1/2 from both sides of the equation.D. Divide both sided by 6/7E. multiply both sides by 7/6