Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 4 - Section 4.1 - Solving Systems of Linear Equations in Two Variables - Exercise Set - Page 212: 32

Answer

There is no solution for the given system.

Work Step by Step

$-x+3y=6$ $3x-9y=9$ Equate the coefficients. Multiply the first equation by 3. $3(-x+3y)=3(6)\longrightarrow$ Simplify. Apply the distributive property. $-3x+9y=18$ Add the second equation to the new equation. $\ \ \ 3x-9y=9$ $\underline{-3x+9y=18}$ $0=27$ Since 0 cannot equal 27, there is no solution for this system of equations.
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