Elementary Technical Mathematics

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

Chapter 9 - Section 9.2 - Solving Pairs of Linear Equations by Addition - Exercises: 11

Answer

(5,1)

Work Step by Step

Add the 2 equations. $\ \ 5x+6y=31$ $\underline{\ \ 2x+6y=16}$ multiply by -1 $\ \ \ \ \ \ 5x+6y=\ \ \ \ 31$ $\underline{\ \ -2x-6y=-16}$ $\ \ \ \ \ \ \ 3x\ \ \ \ \ \ \ \ \ =\ \ \ \ 15$ divide both sides by 3 $\ \ \ \ \ \ \ \ \ x\ \ \ \ \ \ \ \ \ =\ \ \ \ \ \ 5$ Substitute and solve for y. $5x+6y=31$ $5(5)+6y=31$ $25+6y-25=31-25$ $6y\div6=6\div6$ $y=1$
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