Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 3 - Mid-Chapter Check Point - Page 220: 1

Answer

The solution is $x=-1 $ and $y=2 $.

Work Step by Step

The given equations are $ x=3y-7 $ ... (1) $ 4x+3y=2 $ ... (2) Substitute the value of $x$ from equation (1) to (2). $ 4(3y-7)+3y=2 $ $ 12y-28+3y=2 $ $ 15y=2+28 $ $15y=30 $ $ y=\frac{30}{15} $ $ y=2 $ Substitute into equation (1). $x=3(2)-7$ $x=6-7 $ $x=-1$
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