Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.6 Solving Equations - A.6 Assess Your Understanding - Page A51: 26

Answer

$\left\{\dfrac{7}{5}\right\}$

Work Step by Step

Use distributive property. $\begin{align*} 3(2)-3(x)&=2x-1 \\6-3x&=2x-1\end{align*}$ Add $3x+1$ to both sides. $6-3x+3x+1=2x-1+3x+1$ Simplify by combining like terms: $7=5x$ Divide both sides by $5$. $\dfrac{7}{5}=\dfrac{5x}{7}$ Simplify. $\dfrac{7}{5}=x$ Hence, the solution to the equation is $\left\{\dfrac{7}{5}\right\}$.
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