Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.3 Systems of Linear Equations in Two Variables - Exercise Set 7.3 - Page 444: 18

Answer

No solution.

Work Step by Step

To find the solution of provided system of equation by substitution method use the following steps: Step1: The first equation, \[y=2x+7\], is solved for y in terms of x. Step2: Substitute the value of \[y=2x+7\] into the other equation,\[2x-y=-5\]. \[\begin{align} & 2x-y=-5 \\ & 2x-\left( 2x+7 \right)=-5 \\ & 2x-2x-7=-5 \\ & -7\ne -5 \end{align}\] Since, \[-7\] and \[-5\] are not equal, there is no solution for the provided system of equations.
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