SOLUTION: If y varies inversely as 3x +2 and y=24 when x =1 , find x when y is 15? Help a guy out?

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Question 181151: If y varies inversely as 3x +2 and y=24 when x =1 , find x when y is 15?
Help a guy out?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If y varies inversely as 3x +2 and y=24 when x =1
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y = k/(3x+2)
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Solve for "k":
24 = k/(3*1+2)
24 = k/5
k = 120
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Equation:
y = 120/(3x+2)
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Find x when y is 15?
15 = 120/(3x+2)
Cross-multiply:
3x+2 = 120/15
3x + 2 = 8
3x = 6
x = 2
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Cheers,
Stan H.