Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 9 - Systems and Matrices - 9.1 Systems of Linear Equations - 9.1 Exercises - Page 857: 31

Answer

Inconsistent and has no solutions.

Work Step by Step

Need to multiply Equation-1 by $2$ to obtain: $18x-10y=2 \\ -18x+10y=1 $ Now, we will add the above equations to eliminate $x$ and then solve for $y$. $-18x+10y+18x-10y=3 \implies 0 = 3 $ Since 0 never equals 3 $(0 \ne 3)$. So, the given system of equations is inconsistent and has no solutions.
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