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: 17

Answer

$\{(0,2)\}$

Work Step by Step

1. The second equation has 1 as a coefficient of y. solve it for y. $y=2-x$ 2. Substitute y in the other equation and solve. $3(2-x)=5x+6$ $6-3x=5x+6\qquad-6$ $0=8x\qquad/\div 8$ $0=x$ $x=0$ 3. Back-substitute into the expression of y (step 1). $y=2-(0)=2$ 4. Write the solution as an ordered pair. Solution set: $\{(0,2)\}$
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