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: 24

Answer

$x=-1$ $y=4$

Work Step by Step

Equation 2 is already solved for y, we substitute y in the first equation, with the expression in the second: $-3x-5y=-17$ $-3x-5(4x+8)=-23x-40=-17$ $-23x=23$ $x=-1$ $y=4x+8=4$ We need to check, if it is the right solution, we substitute x with 2 and y with 3: $-3(-1)-5(4)=-17$ $\checkmark$ $4=4(-1)+8$ $\checkmark$
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