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: 18

Answer

$\{(2,0)\}$

Work Step by Step

Graph each line (plot two points per line, such as the interceptcs) $ \begin{array}{lllllll} & & & & & & \\ 5x-y=10 & & & | & 2x+y=4 & & \\ x=0 & & y=0 & | & x=0 & & y=0\\ & & & & & & \\ 5x-y=10 & & 5x-0=10 & | & 0+y=4 & & 2x+0=4 \\ -y=10 & & x=2 & | & y=4 & & x=2\\ (0,-10), & & (2,0) & | & (0,4) & & (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 $\{(2,0)\}$
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