Question 143563
x + y = 38
$175000x + $200000y = 7200000

c)Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.  
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Simplify the 2nd equation by dividing thru by 5000 to get:
35x + 40y = 1440
x   +   y = 38
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Multiply  thru the 2nd equation by 35 to get:
35x + 35y = 35*38
35x + 40y = 1440
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Subtract the 1st from the 2nd equation to get:
5y = 10
y = 2 (# of floor plan #1 houses)
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Substitute into x + y = 38 to solve for "x":
x + 2 = 38
x = 36 (# of floor plan #2 houses)
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Cheers,
Stan H.