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 227: 46


$x=-2$ $y=1$

Work Step by Step

If we add the two equations, we can eliminate the $x$ from the system: $6x+5y=-7$ $-6x-11y=1$ $5y-11y=-6$ $y=1$ $6x+5(1)=-7$ $x=-2$ We have to check, if the solution is right. Substitute $x$ with -2 and $y$ with 1: $6(-2)+5(1)=-7$ $\checkmark$ $-6(-2)-11(1)=1$ $\checkmark$
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