document.write( "Question 628901: Solve for R=dy/d+y for y \n" ); document.write( "

Algebra.Com's Answer #395905 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
I assume your equation is:
\n" ); document.write( " $\"R+=+dy%2F%28d%2By%29\"$
\n" ); document.write( "because what you posted means
\n" ); document.write( " $\"R+=+dy%2Fd%2By\"$
\n" ); document.write( "And in this equation the d's cancel out making this a very simple equation. If my assumption is correct, then please put parentheses around multiple-term denominators (and numerators).

\n" ); document.write( " $\"R+=+dy%2F%28d%2By%29\"$
\n" ); document.write( "First let's get rid of the fraction. Multiplying both sides by d+y we get:
\n" ); document.write( " $\"%28R%29%28d%2By%29+=+%28dy%2F%28d%2By%29%29%28d%2By%29\"$
\n" ); document.write( "which simplifies to:
\n" ); document.write( " $\"Rd+%2B+Ry+=+dy\"$
\n" ); document.write( "Next we get the y terms on one side (and the terms that are not y terms on the other side). We can do this all at once by subtracting Ry from each side:
\n" ); document.write( " $\"Rd+=+dy+-+Ry\"$
\n" ); document.write( "The terms on the right are not like terms so we cannot subtract them. But they both have a factor of y which we can factor out:
\n" ); document.write( " $\"Rd+=+y%28d-R%29\"$
\n" ); document.write( "And now we can divide both sides by (d-R):
\n" ); document.write( " $\"Rd%2F%28d-R%29+=+y\"$
\n" ); document.write( "And, since the y is now all by itself, we are finished! \n" ); document.write( "

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