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: 11



Work Step by Step

Variable y is isolated in eq.1 $y=3-2x\qquad $(*) Replace $y$ with $3-2x$ in the second equation: $ 3x+(3-2x)=5\qquad$ ... and solve for $x$. Simplify $3x+3-2x=5$ $ x+3=5\qquad$ ... subtract 3 $x=2$ Now, back-substitute into (*) $y=3-2(2)=3-4=-1$ Form an ordered pair $(x,y) $ as the solution to the system $(2,-1)$
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