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 - Mid-Chapter Quiz: 9

Answer

Solution: (11, -4)

Work Step by Step

Our two equations are: 1. 2x+5y=2 2. 3x-5y=53 First I will add both equation to eliminate the y-terms. We get: 5x=55 Now solve for x by dividing both sides by 5. We get: x=11 Now that we know the value of x, lets substitute it back into one of the original equations to find the value of y. 2(11)+5y=2 22+5y=2 (Subtract 22 from both sides) 5y=-20 (Divide both sides by 5) y=-4 So our solution is (11,-4)
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