Algebra 1: Common Core (15th Edition)

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

Common Core End-of-Course Assessment - Page 793: 10


I (2,-3)

Work Step by Step

You have the equations:2x+5y=-11 and 10x+3y=11.Multiply eq.1 by 5 to get 10x+25y=-55.Then solve using elimination: 10x+25y=-55 10x+3y=11 -subtract eq.2 from eq.1- 22y=-66 -divide both sides by 22- y=-3 Plug in y=-3 into an equation: 10x+3(-3)=11 -distribute- 10x+-9=11 - add 9 to both sides- 10x=20 -divide both sides by 10- x=2 Check your work by plugging in y=-3 and x=2 into an equation: 2(2)+5(-3)=-11 4+-15=-11 -11=-11 The solution is (2,-3) which is choice D.
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