Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 4 - Section 4.1 - Solving Systems of Linear Equations by Graphing - Exercise Set - Page 291: 11

Answer

$\{(4,2)\}$

Work Step by Step

Graph each line (plot two points per line, such as the interceptcs) $ \begin{array}{lllllll} & & & & & & \\ x=0 & & y=0 & | & x=0 & & y=0\\ 0+y=6 & & x+0=6 & | & 0-y=2 & & x-0=2\\ y=6 & & x=6 & | & y=-2 & & x=2\\ (0,6) & & (6,0) & | & (0,-2) & & (2,0) \end{array} $ Plot the pairs of points and the accompanying lines. Determine intersection points, if any. (see attached image) There is an intersection point, the solution set is $\{(4,2)\}$
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