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: 7



Work Step by Step

There are two equations that we can use: y=2x-9 and x+3y=8. Since y=2x-9 is already simplified in which one variable is isolated we can substitute this equation into x+3y=8. x+3y=8 x+3(2x-9)=8 Solve for x. First distribute. x+6x-27=8 Combine like terms and add 27 to 8. 7x-27=8 7x=35 Then divide by 7 on both sides. $\frac{7x}{7}$=$\frac{35}{7}$ x=5 Substitute x=5 into y=2x-9 to solve for y. y=2(5)-9 y=10-9 y=1 The ordered pair would then be (5,1) since x=5 and y=1
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