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: 18

Answer

$\{(6,2)\}$

Work Step by Step

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