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: 22

Answer

$(3,-1)$.

Work Step by Step

First equation $x+2y=1$. Plug $y=0$ into the equation. $\Rightarrow x+2(0)=1$ $\Rightarrow x=1$ $x−$ intercept $A=(1,0)$. Plug $x=0$ into the equation. $\Rightarrow (0)+2y=1$ $\Rightarrow 2y=1$ $\Rightarrow \frac{2y}{2}=\frac{1}{2}$ $\Rightarrow y=\frac{1}{2}$ $y−$ intercept $B=(0,\frac{1}{2})$. Now for the second equation $x=3$. This is in the form of the vertical line $x=k$. Where, $k$ is the $x-$intercept. We have $x-$intercept $C=(3,0)$ and the other point is $(3,1)$. Draw two lines using intercept points. The intersection point of both lines is the solution. Here we have the intersection point at $(3,-1)$.
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