Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 3 - Introduction to Graphing - Review Exercises: Chapter 3 - Page 225: 24

Answer

Refer to the step-by-step part below for the solution. $(1, -1)$ is also a solution of $2x-y=3$
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Work Step by Step

An ordered pair is a solution of an equation if its x and y coordinates satisfy the equation. Substitute the x and y values of each ordered pair into the equation to check if they satisfy the equation. For $(0, -3)$: $2x-y=3 \\2(0)-(-3)=3 \\0+3=3 \\3=3$ Thus, $(0, -3)$ is a solution of the equation. For $(2, 1)$ $2x-y=3 \\2(2)-1=3 \\3=3$ Thus, $(2, 1)$ is a solution of the equation. Plot the two points and connect them using a line. (Refer to the image below for the graph.) Note that the point $(1, -1)$ is also on the line. Thus, $(1, -1)$ is also a solution of the equation $2x-y=3$
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