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: 7

Answer

coincide

Work Step by Step

Solve each equation for y, then find and plot 3 points for each equation and connect with a line. $2x-4y=8$ $2x-4y-2x=8-2x$ $-4y\div-4=(8-2x)\div-4$ $y=\frac{1}{2}x-2$ $\underline{x\ \ \ \ \ \ \ \ \frac{1}{2}x-2\ \ \ \ \ \ \ \ y}$ $0\ \ \ \ \ \ \ \ 0-2\ \ \ \ \ \ \ \ -2$ $4\ \ \ \ \ \ \ \ 2-2\ \ \ \ \ \ \ \ 0$ $8\ \ \ \ \ \ \ \ 4-2\ \ \ \ \ 2$ $3x-6y=12$ $3x-6y-3x=12-3x$ $-6y\div-6=(12-3x)\div-6$ $y=\frac{1}{2}x-2$ $\underline{x\ \ \ \ \ \ \ \ \frac{1}{2}x-2\ \ \ \ \ \ \ \ y}$ $0\ \ \ \ \ \ \ \ 0-2\ \ \ \ \ \ \ \ -2$ $4\ \ \ \ \ \ \ \ 2-2\ \ \ \ \ \ \ \ 0$ $8\ \ \ \ \ \ \ \ 4-2\ \ \ \ \ 2$ The two equations have the same solution set, so the line on the graph is the same for each of the two equations.
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