Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Section 7.1 - Systems of Linear Equations in Two Variables - Exercise Set - Page 818: 9



Work Step by Step

There are two equations that we can use: x=4y-2 and x=6y+8 Since x=4y-2 is already simplified in which one variable is isolated we can substitute this equation into x=6y+8 x=6y+8 4y-2=6y+8 Solve for x. Combine like terms. First subtract 6y from 4y. 4y-2=6y+8 -2y-2=8 Then add 2 to 8. -2y=10 Then divide by -2 on both sides. $\frac{-2y}{-2}$=$\frac{10}{-2}$ y=-5 Substitute y=-5 into x=6y+8 to solve for x. x=6(-5)+8 x=-30+8 x=-22 The ordered pair would then be (-22,-5) since x=-22 and y=-5
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