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 7 Test - Page 484: 13

Answer

the solution of these linear equations will be \[x=1\], and \[y=-3\].

Work Step by Step

From the first equation, substitute the value of \[x\]in the second given equation. \[\begin{align} & 3(y+4)+7y=-18 \\ & 3y+12+7y=-18 \\ & 10y+12=-18 \\ & 10y=-30 \end{align}\] On solving,\[y=-3\] Now, back substitute the value of y in first equation. \[\begin{align} & x=-3+4 \\ & x=1 \end{align}\] Therefore, the solution of these linear equations will be \[x=1\], and \[y=-3\].
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