Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 6 - Systems of Equations and Inequalities - 6-3 Solving Systems Using Elimination - Practice and Problem-Solving Exercises: 15

Answer

(3,1)

Work Step by Step

$2x+3y=9\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2x+\ \ 3y=\ \ \ \ \ 9$ $\ \ x+5y=8\ \ \ \ $ multiply by-2$\ \ \ \ \ \ \ \ \ \ \underline{-2x-10y=-16}$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -7y=\ -7$ Solve for y. $-7y=-7$ $-7y\div-7=-7\div-7$ $y=1$ Substitute 1 for y in either equation and solve for x. $x+5y=8$ $x+5(1)=8$ $x+5-5=8-5$ $x=3$
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