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: 32

Answer

$(\displaystyle \frac{1}{2},-5)$

Work Step by Step

Terms containing $y$ are opposite in the additive sense. Add the equations: $ 12x=6\qquad$ ... and solve for $x$ $x=\displaystyle \frac{1}{2}$ Substitute into one of the initial equations: $6x+3y=-12$ $6(\displaystyle \frac{1}{2})+3y=-12$ $3y=-12-3$ $3y=-15$ $y=-5$ Form an ordered pair $(x,y)$ as the solution to the system $(\displaystyle \frac{1}{2},-5)$
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