document.write( "Question 1027842: Let f(x) = {2-3x}/{5-2x}. For what value of a is f(a) = 3? \n" ); document.write( "
Algebra.Com's Answer #643044 by macston(5194)\"\" \"About 
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\n" ); document.write( "We are looking for the value of x when f(x)=3
\n" ); document.write( "Let f(x)=y=3; Let x=a
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\n" ); document.write( "y={2-3x}/{5-2x}
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\n" ); document.write( "3=(2-3x)/(5-2x) . Multiply each side by (5-2x)
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\n" ); document.write( "15-6x=2-3x . Add 6x to each side.
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\n" ); document.write( "15=2+3x . Subtract 2 from each side.
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\n" ); document.write( "13=3x . Divide each side by 3.
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\n" ); document.write( "13/3=x
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\n" ); document.write( "ANSWER a=13/3\r
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\n" ); document.write( "CHECK:
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\n" ); document.write( "\"f%28a%29=%282-3a%29%2F%285-2a%29\"
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\n" ); document.write( "\"3=%28%286%2F3%29-%2839%2F3%29%29%2F%28%2815%2F3%29-%2826%2F3%29%29\"
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\n" ); document.write( "\"3=%28-33%2F3%29%2F%28-11%2F3%29\"
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\n" ); document.write( "\"3=-33%2F-11\"
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\n" ); document.write( "\"3=3\"\r
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