Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 3 - Section 3.1 - Systems of Linear Equations in Two Variables - Exercise Set - Page 190: 41


$(x,y|y=\dfrac{2}{5}x-2 $ or $(x,y)|2x-5y=10$

Work Step by Step

To solve the given problem we will have to plug the simplest equation into the other equation and then solve for the other variable. $x+y-1=2(y-x) $ or $y=3x-1$ Now, $x+(3x-1)-1=2((3x-1)-x)$ or, $x+3x-1-1=4x-2$ or, $2x-2x+10=10$ or, $2x=2x$ or, $0=0$ Hence, the given equation has Infinitely many solutions with $(x,y|y=\dfrac{2}{5}x-2 $ or $(x,y)|2x-5y=10$
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