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 - Chapter Test - Page 411: 4


Solution: (8, 25)

Work Step by Step

Our two equations are: 1. y=4x-7 2. y=2x+9 The question asks us to use substitution, so we will substitute the value of y in the second equation to the y-term in the first equation. In simpler terms, we will equate the two values of y to each other because both of the two values are equal to y. 4x-7=2x+9 (Subtract 2x from both sides) 2x-7=9 (Add 7 to both sides) 2x=16 (Divide by 2 to both sides) x=8 Now that we have the value of x, lets substitute it into the first equation to find the value of y. y=4(8)-7 y=32-7 y=25 So our solution is (8, 25)
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