Algebra: A Combined Approach (4th Edition)

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

Chapter 4 - Test - Page 331: 21

Answer

Texas has 226000 farms while Missouri has 110000 farms.

Work Step by Step

Let $x$ be the number of farms in Texas and $y$ be the number of farms in Missouri. Equation 1: $116000+y=x$ Equation 2: $x+y=336000$ Substitute equation 1 to equation 2: $$x+y=336000$$ $$(116000+y)+y=336000$$ $$116000+2y=336000$$ Subtract $116000$ from both sides: $$116000-116000+2y=336000-116000$$ $$2y=220000$$ Divide both sides by $2$: $$\frac{2y}{2}=\frac{220000}{2}$$ $$y=110000$$ Substitute this value of $y$ to equation 1: $$116000+y=x$$ $$116000+110000=x$$ $$x=226000$$ Check using equation 2: $$x+y=336000$$ $$226000+110000=336000$$ $$336000=336000$$
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