Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 4 - Section 4.1 - Solving Systems of Linear Equations by Graphing - Exercise Set - Page 291: 31

Answer

Solution set = $\{(2,3)\}$

Work Step by Step

Graph each line (plot two points per line, such as the intercepts) $y=2x-1:\quad \left[\begin{array}{lll} x=0 & ... & x=1\\ y=0-1 & & y=2-1\\ y=-1 & & y=1\\ (0,-1) & & (1,1) \end{array}\right]$ $x-2y=-4:\quad \left[\begin{array}{lll} x=0 & ... & y=0\\ -2y=-4 & & x-0=-4\\ y=2 & & x=-4\\ (0,2) & & (-4,0) \end{array}\right]$ There is an intersection point, $(2,3).$ Solution set = $\{(2,3)\}$
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