Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 4 - Section 4.2 - Solving Systems of Linear Equations by the Substitution Method - Exercise Set: 2

Answer

{(5,1)}

Work Step by Step

y=2x-9 Plug this value for y into the other equation. x+3y=8 x+3(2x-9)=8 x+3(2x)-3(9)=8 x+6x-27=8 7x-27=8 7x=8+27 7x=35 x=$\frac{35}{7}$ x=5 Plug this back into the first equation to find y. y=2(5)-9 y=10-9 y=1 Therefore the solution is {(5,1)}
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