Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 4 - Section 4.3 - Solving Systems of Linear Equations by Addition - Exercise Set: 40

Answer

$(2, -8)$

Work Step by Step

$-2.5x-6.5y=47$ $0.5x-4.5y=37$ Multiply both equations by 2. $-5x-13y=94$ $x-9y=74$ Multiply the second equation by 5. $-5x-13y=94$ $5x-45y=370$ Add both equations. $-58y=464$ $y=-8$ Solve for $x$. $0.5x-4.5y=37$ $0.5x-4.5(-8)=37$ $0.5x+36=37$ $0.5x=1$ $x=2$ $x=2; y=-8$ $(2, -8)$
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