Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 4 - Section 4.2 - Solving Systems of Linear Equations by Substitution - Exercise Set: 20

Answer

x = -4 y = -2

Work Step by Step

3x + y = - 14 4x + 3y = -22 To the first equation solve y,after minus 3x to the both sides 3x + y - 3x = -14 - 3x y = -14 - 3x Substitude y = -14 - 3x to the second equation 4x + 3 ( -14 -3x ) = -22 4x - 42 - 9x = -22 use the distributive property - 5x - 42 = -22 simplify - 5x - 42 + 42 = -22 + 42 add 42 to the both sides - 5x = 20 $\frac{-5x}{-5}$ =$\frac{20}{-5}$ divide both sides by -5 x = -4 substitude x for -4 to the y = -14 - 3x y = -14 - $3\times(-4)$ y = -14 + 12 y = -2
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