Algebra: A Combined Approach (4th Edition)

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

Appendix E - Exercise Set: 9

Answer

$x = 1$ $y = 2$

Work Step by Step

$2y - 4 = 0$ $x + 2y = 5$ Therefore $2y = 4$ $x + 2y = 5$ $a = 0$ , $b = 2$, $c = 1$, $d = 2$, $h = 4$, $k = 5$ lets calculate $D = ad-bc = 0 - 2 = - 2$ $D_x = hd-bk = 8-10 = - 2$ $D_y = ak-ch= 0-4= - 4$ Therefore by Cramer's rule, $x = \frac{D_x}{D} = \frac{-2}{-2} = 1$ $y = \frac{D_y}{D} = \frac{-4}{-2} = 2$
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