document.write( "Question 1103760: find the two solution sets for the following equation using the substitution method:\r
\n" ); document.write( "\n" ); document.write( "x+y=-3
\n" ); document.write( "(x+6)^2+(y+4)^2=37 \n" ); document.write( "

Algebra.Com's Answer #718456 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x=-%28y%2B3%29\"$
\n" ); document.write( "So then substituting,
\n" ); document.write( " $\"%28-y-3%2B6%29%5E2%2B%28y%2B4%29%5E2=37\"$
\n" ); document.write( " $\"%28-y%2B3%29%5E2%2B%28y%2B4%29%5E2=37\"$
\n" ); document.write( " $\"y%5E2-6y%2B9%2By%5E2%2B8y%2B16=37\"$
\n" ); document.write( " $\"2y%5E2%2B2y-12=0\"$
\n" ); document.write( " $\"y%5E2%2By-6=0\"$
\n" ); document.write( " $\"%28y%2B3%29%28y-2%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"y%2B3=0\"$
\n" ); document.write( " $\"y=-3\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"y-2=0\"$
\n" ); document.write( " $\"y=2\"$
\n" ); document.write( "Now use either equation to solve for x.
\n" ); document.write( " \n" ); document.write( "

\n" );