## Prealgebra (7th Edition)

Published by Pearson

# Chapter 4 - Section 4.8 - Solving Equations Containing Fractions - Exercise Set - Page 310: 12

#### Answer

The solution is $\frac{15}{14}$

#### Work Step by Step

9x - $\frac{2}{7}$ -8x = $\frac{11}{14}$ Simplify 9x-8x=x x -$\frac{2}{7}$ = $\frac{11}{14}$ Add $\frac{2}{7}$ to both sides x -$\frac{2}{7}$ + $\frac{2}{7}$ =$\frac{11}{14}$ +$\frac{2}{7}$ LCD of 7 and 14 is 14 x=$\frac{11}{14}$ + $\frac{4}{14}$ x=$\frac{11+4}{14}$ x=$\frac{15}{14}$ The solution is $\frac{15}{14}$ Check 9x -$\frac{2}{7}$ -8x=$\frac{11}{14}$ 9$\times$$\frac{15}{14}-\frac{2}{7} -8\times$$\frac{15}{14}$=$\frac{11}{14}$ $\frac{9\times45}{14}$ -$\frac{4}{14}$ - $\frac{8\times15}{14}$=$\frac{11}{14}$ $\frac{135-4-120}{14}$=$\frac{11}{14}$ $\frac{11}{14}$=$\frac{11}{14}$

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