Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 8 - Section 8.1 - Linear Equations with Two Variables - Exercises - Page 297: 8

Answer

$$(-1, 1), \quad (0, \frac{3}{7}), \quad (-8,5 )$$

Work Step by Step

Substitute the value of $x$ and solve for $ y $ to get the ordered pair $ (x,y)$ as follows: $$ -4(-1) - 7y = -3 \Longrightarrow -7 y=-7 \Longrightarrow y=1 ,$$ $$ -4(0) - 7y = -3 \Longrightarrow -7 y=-3 \Longrightarrow y=\frac{3}{7} ,$$ $$ -4(-8) - 7y = -3 \Longrightarrow -7 y=-35 \Longrightarrow y=5 ,$$ Hence, we have the pairs $$(-1, 1), \quad (0, \frac{3}{7}), \quad (-8,5 )$$
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