SOLUTION: I need help solving this problem: Divide. Write the answer in lowest terms. 6z-y/3x / 5y-30z/3x-27

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Question 672522: I need help solving this problem:
Divide. Write the answer in lowest terms.
6z-y/3x / 5y-30z/3x-27

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
[6z-y/3x] / [5y-30z/3x-27]
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Invert the bottom fraction and multiply:
[6z-y/3x] * [(3(x-9))/(5(y-6z))]
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Cancel the common "3" and "6z-y" factors in the numerator and the denominator:
= [1/x] * [((x-9))/(5(-1))]
= (1/x)(x-9)/(-5)
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= (x-9)/(-5x)
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Cheers,
Stan H.
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