Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 6 - Systems of Equations and Inequalities - 6-2 Solving Systems Using Substitution - Lesson Check - Page 375: 2

Answer

(3,5)

Work Step by Step

We know that 3x-4=y. Thus, in the first equation, wherever we see y, we will substitute 3x-4, and then we will solve: $-2x +5(3x-4) = 19 \\\\ -2x + 15x -20 =19 \\\\ 13x = 39 \\\\ x=3$ We now plug x=3 back in: $ y=3(3)-4=5 $
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