Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 3 - Section 3.1 - Systems of Linear Equations in Two Variables - 3.1 Exercises - Page 226: 22

Answer

$x=-2$ $y=-10$

Work Step by Step

Equation 2 is already solved for y, we substitute y in the first equation, with the expression in the second: $2x-y=6$ $2x-5x=-3x=6$ $x=-2$ $y=5x=-10$ We need to check, if it is the right solution, we substitute x with -2 and y with -10: $2(-2)-(-10)=-4+10=6$ $\checkmark$ $-10=5(-2)$ $\checkmark$
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