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: 50


(7, 3.5)

Work Step by Step

Our two equations are: y=.5x 2y+3x=28 Just like our problem has asked us to do, we will use substitution as our method for solving this system. Lets substitute the first equation into the second equation for y to find the value of x. 2(.5x)+3x=28 Simplify: x+3x=28 4x=28 Divide both sides by 4. We get: x=7 Now that we know the value for x, lets substitute that value for y in the first equation. y=.5(7) Simplify: y=3.5 So our coordinate or answer for the system is (7, 3.5)
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