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: 54

Answer

Equation: $2x-5 =4(3x+1)-2.$ Solution set : $\{ -0.7 \}$

Work Step by Step

In the $\fbox{$Y=$}$ screen, read the functions that have been entered: $y_{1}=2x-5$ and $y_{2}=4(3x+1)-2$ The equation to solve is to find x for which $y_{1}= y_{2}$, that is $2x-5 =4(3x+1)-2.$ In the table of function values screen, we find that when$\quad x=-.7 \qquad $(row 4) then$\quad y_{1}=y_{2}=-6.4$ meaning that $x=-0.7$ is the solution to the equation.
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