Algebra: A Combined Approach (4th Edition)

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

Chapter 4 - Review - Page 329: 42

Answer

$$x=8$$ $$y=11$$

Work Step by Step

Equation 1: $x + y = 19$ Equation 2: $x - y = -3$ Add equation 1 and equation 2: $$x + y = 19$$ $$+$$ $$x - y = -3$$ $$=$$ $$2x=16$$ Divide both sides by $2$: $$\frac{2x}{2}=\frac{16}{2}$$ $$x=8$$ Substitute this value of $x$ to equation 1: $$x+y=19$$ $$8+y=19$$ Subtract $8$ from both sides: $$8-8+y=19-8$$ $$y=11$$ Use equation 2 to check: $$x - y = -3$$ $$8 - 11 = -3$$ $$-3=-3$$
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