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: 21


The required value is $x=3,y=0$

Work Step by Step

We add both equations to obtain, $\begin{align} & 2x+3y+\left( 2x-3y \right)=6+6 \\ & 4x=6+6 \\ & 4x=12 \\ & x=3 \end{align}$ Substitute the value of $x=3$ in the first equation and solve for y as follows: $\begin{align} & 2\left( 3 \right)+3y=6 \\ & 6+3y=6 \\ & 3y=0 \\ & y=0 \end{align}$ Thus, the value of $x=3$ and .
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