Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 6 - Systems of Equations and Inequalities - 6-4 Applications of Linear Systems - Practice and Problem-Solving Exercises - Page 391: 20


The best way to solve this system is by using elimination.

Work Step by Step

Our two equations are: 1. 3m-4n=1 2. 3m-2n=-1 Using elimination is most apt because we can easily eliminate the m-terms by subtracting the first equation from the second. Then we can solve for the value of n. Once we have that value, we can substitute that value of n into any one of the two equations and simplify to get the value of m. Therefore, using elimination is the most easiest and shortest method for solving this system.
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