document.write( "Question 430547: Please help me solve this problem by Substitution Method $\"x-y=1\"$
\n" ); document.write( " $\"x%5E2-xy-y%5E2=-5\"$ I can't figure out the solution sets.\r
\n" ); document.write( "\n" ); document.write( "Thank you \n" ); document.write( "

Algebra.Com's Answer #299006 by sudhanshu_kmr(1152) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "x-y = 1 , so x= y+1\r
\n" ); document.write( "\n" ); document.write( "substitute the value of x in \r
\n" ); document.write( "\n" ); document.write( "x^2 -xy -y^2 =-5\r
\n" ); document.write( "\n" ); document.write( "=> (1+y)^2 -(1+y)y - y^2 = -5\r
\n" ); document.write( "\n" ); document.write( "=> 1 + y^2 +2y -y - y^2 -y^2 = -5\r
\n" ); document.write( "\n" ); document.write( "=> y^2 -y -6 = 0 \r
\n" ); document.write( "\n" ); document.write( "=> (y+2)(y-3) =0\r
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\n" ); document.write( "\n" ); document.write( "y = -2 or y =3\r
\n" ); document.write( "\n" ); document.write( "when y = -2, x= -1\r
\n" ); document.write( "\n" ); document.write( "when y = 3 , x = 4\r
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