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: 8

Answer

x = - $\frac{7}{3}$ y = - $\frac{44}{3}$

Work Step by Step

y=5x-3 y=8x+4 Substitude y for 5x - 3 to the second equation. 5x - 3 = 8x + 4 5x - 3 + 3 = 8x + 4 + 3 add 3 to the both sides 5x = 8x + 7 simplify 5x - 8x = 8x + 7 - 8x - 3x = 7 simplify $\frac{ - 3x}{-3}$ = $\frac{7}{-3}$ divide by -3 x = - $\frac{7}{3}$ Substitude x = - $\frac{7}{3}$ to the first equation y = 5 $\times($ - $\frac{7}{3}$ ) - 3 y = - $\frac{35}{3}$ - $\frac{9}{3}$ y = - $\frac{44}{3}$
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