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: 35


The required value is $\left\{ \left( 1,4 \right) \right\}$

Work Step by Step

Multiply the second equation by $2$ and then add that to the first equation to obtain: $\begin{align} & 2\left( 4x+y \right)+\left( 3x-2y \right)=2\left( 8 \right)+\left( -5 \right) \\ & 8x+2y+3x-2y=16-5 \\ & 11x=11 \\ & x=1 \end{align}$ Substitute the value of $x$ in the first equation and solve for y as follows: $\begin{align} & 3-2y=-5 \\ & -2y=-8 \\ & y=4 \end{align}$ Thus, the solution set is $\left\{ \left( 1,4 \right) \right\}$.
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