Algebra: A Combined Approach (4th Edition)

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

Chapter 4 - Section 4.3 - Solving Systems of Linear Equations by Addition - Exercise Set: 25

Answer

x = $\frac{12}{11}$ y =- $\frac{4}{11}$

Work Step by Step

2x - 5y = 4 first equation 3x - 2y = 4 second equation multiply by -3 the first equation and by 2 the second equation -6x + 15y = -12 6x - 4y = 8 ___________ 11y = -4 add the equations to eliminate x y = -$\frac{4}{11}$ divide both sides by 11 let y to rhe first equation 2x - 5y = 4 2x - 5($\frac{-4}{11)}$ = 4 2x = 4 - $\frac{20}{11}$ 2x = $\frac{44}{11}$ - $\frac{20}{11}$ 2x = $\frac{24}{11}$ x = $\frac{12}{11}$ divide bpth sides by 2
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