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: 11

Answer

$\{(1,3)\}$

Work Step by Step

1. The second equation has 1 as a coefficient of y. Solve it for y. $y=6-3x$ 2. Substitute y in the other equation and solve. $8x-10(6-3x)=-22$ $8x-60+30x=-22\qquad/+60$ $38x=38\qquad/\div 38$ $x=1$ 3. Back-substitute into the expression of y (step 1). $y=6-3(1)=3$ 4. Write the solution as an ordered pair. Solution set: $\{(1,3)\}$
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