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: 26

Answer

x =$\frac{7}{16}$ y = - $\frac{7}{8}$

Work Step by Step

6x - 5y = 7 first equation 4x - 6y = 7 second equation multiply by -2 the first equation and by 3 the second equation -12x + 10y = -14 12x - 18 y = 21 ______________ -8y = 7 add the equations to eleminate x y = - $\frac{7}{8}$ divide both sides by -8 let y in the firest equation 6x - 5y = 7 6x - 5 (- $\frac{7}{8}$) = 7 6x + $\frac{35}{8}$ = 7 6x = $\frac{56}{8}$ - $\frac{35}{8}$ 6x = $\frac{21}{8}$ x = $\frac{21}{48}$ x = $\frac{7}{16}$
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