Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.6 - Proportions and Problem Solving with Rational Equations - Exercise Set: 6

Answer

The solution is -$\frac{7}{2}$

Work Step by Step

$\frac{x+1}{x+2}$=$\frac{5}{3}$ 3(x+1)=5(x+2) 3x+3=5x+10 3x-5x=10-3 -2x=7 x=-$\frac{7}{2}$ Check the solution- $\frac{7}{2}$ $\frac{x+1}{x+2}$=$\frac{5}{3}$ $\frac{-\frac{7}{2}+1}{-\frac{7}{2}+2}$=$\frac{5}{3}$ $\frac{-\frac{7}{2}+\frac{2}{2}}{-\frac{7}{2}+\frac{4}{2}}$=$\frac{5}{3}$ $\frac{-\frac{5}{2}}{-\frac{3}{2}}$=$\frac{5}{3}$ -$\frac{3}{2}$5=-$\frac{5}{2}$3 -$\frac{15}{2}$=-$\frac{15}{2}$
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