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 - 6-3 Solving Systems Using Elimination - Lesson Check - Page 381: 2

Answer

(1,4)

Work Step by Step

Multiply the first equation by 2. Add the equations to eliminate q. 3p+q = 7 multiply by 2: 6p+2q= 14 6p+2q= 14 2p−2q=−6 −−−−−−−−−−− 8p = 8 Solve for p. 8p=8 8p÷8=8÷8 p=1 Substitute 1 for p in either equation. 3p+q=7 3(1)+q=7 3+q−3=7−3 q=4
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