SOLUTION: Let f(x) = {2-3x}/{5-2x}. For what value of a is f(a) = 3?

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Question 1027842: Let f(x) = {2-3x}/{5-2x}. For what value of a is f(a) = 3?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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We are looking for the value of x when f(x)=3
Let f(x)=y=3; Let x=a
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y={2-3x}/{5-2x}
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3=(2-3x)/(5-2x) . Multiply each side by (5-2x)
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15-6x=2-3x . Add 6x to each side.
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15=2+3x . Subtract 2 from each side.
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13=3x . Divide each side by 3.
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13/3=x
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ANSWER a=13/3
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CHECK:
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f%28a%29=%282-3a%29%2F%285-2a%29
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3=%28%286%2F3%29-%2839%2F3%29%29%2F%28%2815%2F3%29-%2826%2F3%29%29
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3=%28-33%2F3%29%2F%28-11%2F3%29
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3=-33%2F-11
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3=3


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