Algebra: A Combined Approach (4th Edition)

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

Chapter 4 - Review - Page 328: 24

Answer

$$x=-2$$ $$y=4$$

Work Step by Step

equation 1 $$x - 5y = -22$$ equation 2 $$4x + 3y = 4$$ Multiply equation 1 by $-4$: $$[x - 5y = -22] \cdot -4$$ $$-4x +20y = 88$$ Add this equation to equation 2: $$4x + 3y = 4$$ $$-4x +20y = 88$$ $$23y = 93$$ $$y=4$$ Substitute this $y$ value to equation 1: $$x - 5y = -22$$ $$x - 5(4)= -22$$ $$x - 20 = -22$$ Add $20$ to both sides: $$x - 20 +20= -22+20$$ $$x=-2$$
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