Intermediate Algebra for College Students (7th Edition)

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

Chapter 3 - Section 3.1 - Systems of Linear Equations in Two Variables - Exercise Set - Page 190: 10

Answer

$(-2,3)$

Work Step by Step

For the first equation $x+2y=4$, the $x$ and $y$ intercepts are found as $(4,0)$ and $(0,2)$ by substituting $0$ for $y$ and $x$ values in the equation respectively. Similarly, for the second equation $y=-2x-1$, the $x$ and $y$ intercepts are found as $(-0.5,0)$ and $(0,1)$ by substituting $0$ for $y$ and $x$ values in the equation respectively. Now, graph each equation as a line passing through the intercepts. The lines intersect at point $(-2,3)$ which represents the solution. The graph is as below.
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