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: 26

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=3x-1 & & & | & y=3x+2 & & \\ x=0 & & x=1 & | & x=0 & & x=-1\\ & & & & & & \\ y=0-1 & & y=3-1 & | & y=0+2 & & y=-3+2 \\ y=1 & & y=2 & | & y=2 & & y=-1\\ (0,-1), & & (1,2) & | & (0,2) & & (-1,-1)\\ & & & & & & \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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