document.write( "Question 971836: (k-1)x-y=5,(k+1)x+(1-k)y=(3x+1) \n" ); document.write( "

Algebra.Com's Answer #594304 by josgarithmetic(39617) $\"\"$ $\"About$

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Substitution Method should be easiest to use.\r
\n" ); document.write( "\n" ); document.write( "Put both into standard form or whichever choice of forms for each you want, first.\r
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\n" ); document.write( "\n" ); document.write( "1
\n" ); document.write( " $\"kx-x-y=5\"$
\n" ); document.write( "or
\n" ); document.write( " $\"-y=5-%28k-1%29x\"$
\n" ); document.write( " $\"highlight_green%28y=-5%2B%28k-1%29x%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2
\n" ); document.write( " $\"%28k%2B1%29x%2B%281-k%29y=3x%2B1\"$
\n" ); document.write( " $\"%28k%2B1%29x%2B%28y-ky%29=3x%2B1\"$
\n" ); document.write( " $\"%28k%2B1%29x-3x%2By-ky=1\"$
\n" ); document.write( "SUBSTITUTE,
\n" ); document.write( " $\"%28k%2B1%29x-3x%2B%28%28k-1%29x-5%29-k%28%28k-1%29x-5%29=1\"$
\n" ); document.write( " $\"%28k%2B1%29x-3x%2Bkx-x-5-%28k%5E2%2Ax-kx-5k%29=1\"$
\n" ); document.write( " $\"%28k%2B1%29x-3x%2Bkx-x-5-k%5E2%2Ax%2Bkx%2B5k=1\"$
\n" ); document.write( " $\"%28k%2B1%29x-3x%2Bkx-x-k%5E2%2Ax%2Bkx=1-5k%2B5\"$
\n" ); document.write( " $\"x%28k%2B1-3%2Bk-1-k%5E2%2Bk%29=6-5k\"$
\n" ); document.write( " $\"x%28-k%5E2%2B3k-3%29=6-5k\"$
\n" ); document.write( " $\"x%28k%5E2-3k%2B3%29=5k-6\"$ , which was result of multiplication of negative 1 to both sides
\n" ); document.write( " $\"highlight%28x=%285k-6%29%2F%28k%5E2-3k%2B3%29%29\"$ ---------For ONE OF the variables.\r
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\n" ); document.write( "\n" ); document.write( "Go back to y in terms of x and k, and substitute the formula for x, and simplify for the formula for y. \n" ); document.write( "

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