Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.4 - Solving Linear Equations - Exercise Set - Page 51: 53


Equation: $-3(x-3) =5(2-x).$ Solution set : $\{ 0.5 \}$

Work Step by Step

In the $\fbox{$Y=$}$ screen, read the functions that have been entered: $y_{1}=-3(x-3)$ and $y_{2}=5(2-x)$ The equation to solve is to find x for which $y_{1}= y_{2}$, that is $-3(x-3) =5(2-x).$ In the table of function values screen, we find that when$\quad x=.5 \qquad $(row 4) then$\quad y_{1}=y_{2}=7.5$ meaning that $x=0.5$ is the solution to the equation.
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