document.write( "Question 255908: if (x+y) varies directly as (x-2y)and k is the constant of variation,find x in terms of y and k. \n" ); document.write( "

Algebra.Com's Answer #188099 by drk(1908) $\"\"$ $\"About$

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From the problem, we get
\n" ); document.write( " $\"%28x%2By%29+=+k%2A%28x-2y%29\"$
\n" ); document.write( "now expand the right side to get
\n" ); document.write( " $\"%28x%2By%29+=+kx-2ky\"$
\n" ); document.write( "subtract kx and y from both sides to get
\n" ); document.write( " $\"x-kx+=+-y+-+2ky\"$
\n" ); document.write( "factoring, we get
\n" ); document.write( " $\"x%281-k%29+=+-y%281%2B2k%29\"$
\n" ); document.write( "dividing, we get
\n" ); document.write( " $\"x+=+-y%2A%281%2B2k%29%2F%281-k%29\"$
\n" ); document.write( "a restriction is that k cannot = 1 \n" ); document.write( "

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