document.write( "Question 223382: 2/3y+4=2x
\n" ); document.write( "rewrite the function that y is a function of x
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Algebra.Com's Answer #167203 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
I'm not sure if the equation is $\"%282%2F3%29y%2B4+=+2x\"$ or $\"2%2F%283y%29+%2B+4+=+2x\"$ . I'll do both and you pick the right one.

\n" ); document.write( "When writing \"y as a function of x\" it means solve the equaiton for y and this is what I shall do:

1. Subtract 4 from each side:
  \n" ); document.write( " $\"%282%2F3%29y+=+2x+-+4\"$
2. Multiply both sides by the reciprocal of 2/3 (which is 3/2):
  \n" ); document.write( " $\"%283%2F2%29%282%2F3%29y+=+%283%2F2%29%282x-4%29\"$
  \n" ); document.write( " $\"y+=+3x+-+6\"$
  \n" ); document.write( "This equation expresses y as a function of x.
1. Multiply both sides by 3y:
  \n" ); document.write( " $\"%283y%29%282%2F%283y%29+%2B+4%29+=+%283y%29%282x%29\"$ .
  \n" ); document.write( " $\"2+%2B+12y+=+6xy\"$
2. Subtract 12y from each side (to get the y terms together):
  \n" ); document.write( " $\"2+=+6xy+-+12y\"$
3. Factor out y on the right side:
  \n" ); document.write( " $\"2+=+y%286x+-+2%29\"$
4. Divide both sides by (6x-2):
  \n" ); document.write( " $\"2%2F%286x-2%29+=+%28y%286x-2%29%29%2F%286x-2%29\"$
  \n" ); document.write( "The (6x-2)'s cancel on the right:
  \n" ); document.write( " $\"2%2F%286x-2%29+=+y\"$
  \n" ); document.write( "This equation expresses y as a function of x.

\n" ); document.write( "(Note: a solution provided by another expresses x as a function of y which is not what the problem asks for.) \n" ); document.write( "

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