document.write( "Question 1091382: given that x*y=2x-y, where x and y are real number, find the value of y if y*(3*y)=6 \n" ); document.write( "

Algebra.Com's Answer #705817 by greenestamps(13203) $\"\"$ $\"About$

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Do you understand that in this problem they are defining \"*\" to be like a function that operates on input values x and y? \"x*y = 2x-y\" means the output of the function \"*\" is 2 times the first input, minus the second input. Then
\n" ); document.write( "\"3*y\" is $\"2%283%29-y+=+6-y\"$
\n" ); document.write( "and then \"y*(6-y)\" is $\"2%28y%29-%286-y%29+=+3y-6\"$
\n" ); document.write( "and so
\n" ); document.write( " $\"3y-6+=+6\"$
\n" ); document.write( " $\"3y+=+12\"$

\n" ); document.write( "So y = 4 is the answer. \n" ); document.write( "

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