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: 2

Answer

(3,1)
1498845069

Work Step by Step

Solve each equation for y, then find and graph 3 points for each equation. $x-y=2$ $x-y+y-2=2-y-2$ $x-2=y$ $\underline{\ x\ \ \ \ \ \ \ \ \ \ \ x-2\ \ \ \ \ \ \ \ \ \ \ \ \ y\ \ }$ $-1\ \ \ \ \ \ \ -1-2\ \ \ \ \ \ -3$ $\ \ \ 0\ \ \ \ \ \ \ \ \ 0-2\ \ \ \ \ \ \ \ \ -2$ $\ \ \ 5\ \ \ \ \ \ \ \ \ 5-2\ \ \ \ \ \ \ \ \ \ \ \ \ \ 3$ $x+3y=6$ $x+3y-x=6-x$ $3y\div3=(6-x)\div3$ $y=2-\frac{x}{3}$ $\underline{\ x\ \ \ \ \ \ \ \ \ \ \ \ 2-\frac{x}{3}\ \ \ \ \ \ \ \ \ \ y}$ $3\ \ \ \ \ \ \ \ \ \ \ \ \ 2-1\ \ \ \ \ \ \ \ \ \ \ 1$ $0\ \ \ \ \ \ \ \ \ \ \ \ \ 2-0\ \ \ \ \ \ \ \ \ \ \ 2$ $-6\ \ \ \ \ \ \ \ \ 2-(-2)\ \ \,\ \ \ 4$ The lines intersect where x=3 and y=1. When $x=3, x-2=3-2=1.$ When $x=3, 2-\frac{x}{3}=2-1-1$.
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