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 - Mixed Review - Page 380: 52



Work Step by Step

Our two equations are: 1. x+2y=-1 2. 3x-5y=30 First we will try to have the same x term coefficient for both equations so that we can eliminate them and solve for the y terms. In order to do that, lets multiply the first equation by 3. Now our two equations look like this: 1. 3x+6y=-3 2. 3x-5y=30 Now lets subtract the second equation from the first equation. 3x+6y=-3 - 3x-5y=30 ______________ 11y=-33 Now divide both sides by 11. y=-3 Now that we know the value of y, lets substitute the value of y into the first equation in order to find the x-value. x+2(-3)=-1 x-6=-1 Add 6 to both sides of the equation: x=5 So our answer is the ordered pair (5,-3)
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