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: 13

Answer

$$(2,-3), \quad (0,7), \quad (-4,27 ).$$

Work Step by Step

Substitute the value of $x$ and solve for $ y $ to get the ordered pair $ (x,y)$ as follows: $$ 5(2) + y = 7 \Longrightarrow y=7-10 \Longrightarrow y =-3 ,$$ $$ 5(0) + y = 7 \Longrightarrow y=7 ,$$ $$ 5(-4) + y = 7 \Longrightarrow y=7+20 \Longrightarrow y =27 ,$$ Hence, we have the pairs $$(2,-3), \quad (0,7), \quad (-4,27 ).$$
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