Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 6 - Systems of Equations and Inequalities - 6-1 Solving Systems by Graphing - Lesson Check - Page 367: 2


The solution of the system is $(16,14)$.

Work Step by Step

Graph both equations in the same coordinate plane. $y = x-2 \rightarrow $ The slope is 1. The y-intercept is -2. $y = \frac{1}{2}x+6 \rightarrow $ The slope is $\frac{1}{2}$. The y-intercept is 6. Find the point of intersection. The lines appear to intersect at $(16,14)$. Check to see if $(16,14)$ makes both equations true. $y=x-2 \rightarrow 14=16-2\rightarrow 14=14 $ $y=\frac{1}{2}x+6 \rightarrow \frac{1}{2}(16)+6=14 \rightarrow14=14 $ The solution of the system is $(16,14)$.
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