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: 21

Answer

$(3,1)$.

Work Step by Step

First equation $x-y=2$. Plug $y=0$ into the equation. $x-0=2$ $x=2$ $x=2$ $x-$ intercept $A=(2,0)$. Plug $x=0$ into the equation. $0-y=2$ $-y=2$ $y=-2$ $y-$ intercept $B=(0,-2)$. Now for the second equation $y=1$. It is a straight line parallel to the $x$ axis. And $y$ intercept is $C=(0,1)$. Draw two lines using intercept points. Graph is shown below in the image. The intersection point of both lines is the solution. Here we have the intersection point at $(3,1)$.
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