Elementary Technical Mathematics

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

Chapter 9 - Section 9.1 - Solving Pairs of Linear Equations by Graphing - Exercises - Page 327: 6

Answer

(1,3)
1498871684

Work Step by Step

Solve each equation for y, Find and plot 3 points for each equation and connect with a line. $x+y=4$ $x+y-x=4-x$ $y=4-x$ $\underline{x\ \ \ \ \ \ \ \ 4-x\ \ \ \ \ \ \ \ y}$ $0\ \ \ \ \ \ \ \ 4-0\ \ \ \ \ \ \ \ 4$ $4\ \ \ \ \ \ \ \ 4-4\ \ \ \ \ \ \ \ 0$ $6\ \ \ \ \ \ \ \ 4-6\ \ \ \ \ -2$ $2x+y=5$ $2x+y-2x=5-2x$ $y=5-2x$ $\underline{x\ \ \ \ \ \ \ \ 5-2x\ \ \ \ \ \ \ \ y\ \ \ \ }$ $0\ \ \ \ \ \ \ \ 5-2(0)\ \ \ \ \ \ \ \ 5$ $2.5\ \ \ \ \ 5-2(2.5)\ \ \ \ \ 0$ $4\ \ \ \ \ \ \ \ 5-2(4)\ \ \ \ \ -3$ The lines intersect where x=1 and y=3. $1+3=4\ \checkmark$ $5-2(1)=3\ \checkmark$
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