Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - Chapter Summary, Review, and Test - Review Exercises - Page 481: 41

Answer

\[\left\{ \left( -9,3 \right) \right\}\]

Work Step by Step

Multiply the second equation by 2 and add both the equations as follows: \[\begin{align} & x+2y+2x-2y=-3-24 \\ & 3x=-27 \\ & x=-\frac{27}{3} \\ & x=-9 \end{align}\] Substitute the value of \[x=-9\]in the second equation and solve: \[\begin{align} & x-y=-12 \\ & -9-y=-12 \\ & -9+12=y \\ & y=3 \end{align}\] Hence, the value of x is \[-9\] and y is \[3\].
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