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: 10

Answer

$$(3,0), \quad (0,2), \quad (-6, 6 ).$$

Work Step by Step

Substitute the value of $x$ and solve for $ y $ to get the ordered pair $ (x,y)$ as follows: $$ 2(3) + 3y = 6 \Longrightarrow 3 y=0 \Longrightarrow y =0 ,$$ $$ 2(0) + 3y = 6 \Longrightarrow 3 y=6 \Longrightarrow y =2 ,$$ $$ 2(-6) + 3y = 6 \Longrightarrow 3 y=18 \Longrightarrow y =6 ,$$ Hence, we have the pairs $$(3,0), \quad (0,2), \quad (-6, 6 ).$$
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