Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 8 - Systems of Linear Equations and Problem Solving - 8.2 Solving by Substitution or Elimination - 8.2 Exercise Set - Page 516: 14



Work Step by Step

Variable $y$ is isolated in eq.$2$ $y=3x-6\qquad $(*) Replace $y$ with $3x-6$ in the other equation: $ 9x-2(3x-6)=3\qquad$ ... and solve for $x$. Simplify $9x-6x+12=3$ $ 3x+12=3\qquad$ ... subtract $12$ $ 3x=-9\qquad$ ... divide with $3$ $x=-3$ Now, back-substitute into (*) $y=3(-3)-6=-9-6=-15$ Form an ordered pair $(x,y) $ as the solution to the system $(-3,-15)$
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