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 856: 10

Answer

$\{(-1,-11)\}$

Work Step by Step

1. The second equation has $y$ already expressed in terms of $x$ $y=11x$ 2. Substitute $y$ in the other equation and solve. $6x-y=5$ $6x-(11x)=5$ $-5x=5\qquad/\div(-5)$ $x=-1$ 3. Back-substitute into the expression of $y$ (step 1). $y=11(-1)=-11$ 4. Write the solution as an ordered pair. Solution set: $\{(-1,-11)\}$
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