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 - Page 379: 33



Work Step by Step

Our two systems of equations are: 1. 2x+y=4 2. 6x+7y=12 First lets multiply the first equation by 3. We get: 1. 6x+3y=12 2. 6x+7y=12 Now lets subtract the second equation from the first equation. -4y=0 Solve for y: y=0 Now we know the y coordinate so lets plug that into the original, first equation to get the value of our x coordinate. 2x+(0)=4 Now simplify, 2x=4 Divided by 2 to isolate the variable and find what x equals x=2. So our answer is (2,0)
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