Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 8 - Coordinate Geometry and Linear Systems - 8.6 - Elimination-by-Addition Method - Problem Set 8.6: 55

Answer

I would use the elimination-by addition method. In order to solve using the elimination-by-addition method, we (1) multiply one or both of the equations by a nonzero constant so that when we add the two equations, one of the variables will cancel out. (If the variables already cancel, we can go straight to step two.) For this example, we multiply the top equation by 5 and the bottom equation by 4. We then (2) add the two equations and (3) solve the resulting equation. Using the value of x, we can then (4) solve for y using either of the original two equations.

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