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: 18

Answer

$$(2,1), \quad (0,-1/3), \quad (-4,-3 ).$$

Work Step by Step

Substitute the value of $x$ and solve for $ y $ to get the ordered pair $ (x,y)$ as follows: $$ 2(2) - 3y = 1 \Longrightarrow -3y=1-4 \Longrightarrow y =1 ,$$ $$ 2(0) - 3y = 1 \Longrightarrow -3y=1 \Longrightarrow y =-1/3 ,$$ $$ 2(-4) - 3y = 1 \Longrightarrow -3y=1+8 \Longrightarrow y =-3 ,$$ Hence, we have the pairs $$(2,1), \quad (0,-1/3), \quad (-4,-3 ).$$
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