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: 42

Answer

Infinitely many solutions with $(x,y)|y=\dfrac{1}{3}x+4 $ or $(x,y)|3y=x+12$

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. $3y=x+12$ Now, $3(1/3x+4)=x+12$ or, $x+12=x+12$ or, $12=12$ or, $0=0$ Hence, the given equation has Infinitely many solutions with $(x,y)|y=\dfrac{1}{3}x+4 $ or $(x,y)|3y=x+12$
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