Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 4 - Section 4.8 - Solving Equations Containing Fractions - Exercise Set: 6

Answer

The solution is -$\frac{4}{11}$

Work Step by Step

5x + $\frac{1}{11}$ - 4x = $\frac{2}{11}$ - $\frac{5}{11}$ Simplify 5x- 4x +$\frac{1}{11}$ = $\frac{2-5}{11}$ x + $\frac{1}{11}$ = $\frac{-3}{11}$ Subtract $\frac{1}{11}$ from both sides x +$\frac{1}{11}$ -$\frac{1}{11}$ = -$\frac{3}{11}$ - $\frac{1}{11}$ x= $\frac{-3-1}{11}$ x=$\frac{-4}{11}$ The solution is $\frac{-4}{11}$ Check Replace x with $\frac{-4}{11}$ 5x + $\frac{1}{11}$ -4x= $\frac{2}{11}$- $\frac{5}{11}$ 5$\times$ $\frac{-4}{11}$ + $\frac{1}{11}$ - 4$\times$$\frac{-4}{11}$= $\frac{2}{11}$ -$\frac{5}{11}$ $\frac{5\times-4}{11}$ +$\frac{1}{11}$ - $\frac{4\times-4}{11}$= $\frac{2-5}{11}$ -$\frac{20}{11}$ + $\frac{1}{11}$ + $\frac{16}{11}$= -$\frac{3}{5}$ $\frac{-20+1+16}{11}$ = -$\frac{3}{11}$ $\frac{-3}{5}$ = -$\frac{3}{11}$
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