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: 25

Answer

I disagree because elimination is by far faster and simpler than using substitution to solve the system.

Work Step by Step

Our two equations are: 1. y-3x=4 2. y-6x=12 Using elimination is easier because I can eliminate the y-terms by merely subtracting the first equation from the second. Then I can solve for x and then use that value of x to find the value of y by substituting it back to one of the original equations. If I use substitution, I would have to first solve for one of the variables and then I can substitute it into one of the equations whereas by using elimination, I can eliminate the y-terms by just using subtraction.
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