Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Section 7.1 - Systems of Linear Equations in Two Variables - Exercise Set - Page 818: 19


The required value is $x=2,y=-1$.

Work Step by Step

Add both equations to obtain, $\begin{align} & x+y+\left( x-y \right)=1+3 \\ & 2x=4 \\ & x=2 \end{align}$ Substitute the value of $x=2$ in the first equation and solve for y as follows: $\begin{align} & 2+y=1 \\ & y=-1 \end{align}$ Thus, the value of $x=2$ and $y=-1$.
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