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: 20

Answer

$$(1,-2), \quad (0,-12/7), \quad (-8,4/7).$$

Work Step by Step

Substitute the value of $x$ and solve for $ y $ to get the ordered pair $ (x,y)$ as follows: $$ 2(1)+ 7y = -12 \Longrightarrow 7y=-12-2 \Longrightarrow y =-2 ,$$ $$ 2(0)+ 7y = -12 \Longrightarrow 7y=-12 \Longrightarrow y =-12/7 ,$$ $$ 2(-8)+ 7y = -12 \Longrightarrow 7y=-12+16 \Longrightarrow y =4/7 ,$$ Hence, we have the pairs $$(1,-2), \quad (0,-12/7), \quad (-8,4/7).$$
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