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: 33

Answer

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

Work Step by Step

Graph each line (plot two points per line, such as the intercepts) $x+y=5:\quad \left[\begin{array}{lll} x=0 & ... & y=0\\ 0+y=5 & & x+0=5\\ y=5 & & x=5\\ (0,5) & & (5,0) \end{array}\right]$ $2x+2y=12:\quad \left[\begin{array}{lll} x=0 & ... & y=0\\ 0+2y=12 & & 2x+0=12\\ y=6 & & x=6\\ (0,6) & & (6,0) \end{array}\right]$ There are no intersection points, the lines are parallel, the solution set is $\emptyset$.
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