Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 8 - Coordinate Geometry and Linear Systems - 8.6 - Elimination-by-Addition Method - Problem Set 8.6: 57

Answer

The answer is below.

Work Step by Step

We use the theorems listed by the book above the problem to obtain: a) Consistent (Since $\frac{4}{9} \ne \frac{-3}{2}$) b) Inconsistent (Since $\frac{5}{10} = \frac{-1}{-2} \ne \frac{6}{19})$ c) Consistent (Since $\frac{5}{4} \ne \frac{-4}{5}$) d) Consistent (Since $\frac{1}{1} \ne \frac{2}{-2}$) e) Dependent (Since $\frac{1}{3} = \frac{-3}{-9} = \frac{5}{15}$) f) Consistent (Since $\frac{4}{2} \ne \frac{3}{-1}$) g) Inconsistent (Since $\frac{3}{3/2} = \frac{2}{1} \ne \frac{4}{-1})$ h) Dependent (Since $\frac{-4/3}{4} = \frac{1}{-3} = \frac{-2}{6}$)
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