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 - Connecting: The Concepts - Exercises - Page 516: 4

Answer

$(5,7)$

Work Step by Step

Equation 1 has variables isolated - select the substitution method. $y=2x-3\qquad $(*) Replace y with $2x-3$ in the second equation: $ x+2x-3=12\qquad$ ... and solve for $x$. Simplify. $ 3x-3=12\qquad$ ... add $3$ to both sides $ 3x=15\qquad$ ... divide with 3 $x=5$ Now, back-substitute into (*) $y=2(5)-3=10-3=7$ Form an ordered pair $(x,y) $ as the solution to the system $(5,7)$
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