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: 25

Answer

No solution (the solution set is $\emptyset$.)

Work Step by Step

Graph each line (plot two points per line, such as the interceptcs) $ \begin{array}{lllllll} & & & & & & \\ y=2x-1 & & & | & y=2x+1 & & \\ x=0 & & x=2 & | & x=0 & & x=1\\ & & & & & & \\ y=0-1 & & y=4-1 & | & y=0+1 & & y=2+1 \\ y=1 & & y=3 & | & y=1 & & y=3\\ (0,-1), & & (2,3) & | & (0,1) & & (1,3)\\ & & & & & & \end{array} $ Plot the pairs of points and the accompanying lines. Determine intersection points, if any. (see attached image) There are no intersection points, the lines are parallel, the solution set is $\emptyset$.
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