document.write( "Question 753944: What is the solution set of the system of equations x+y=5 and y=x^2-25 \n" ); document.write( "
Algebra.Com's Answer #458687 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"+x%2By=5\".....eq.1 \r
\n" ); document.write( "\n" ); document.write( "\"y=x%5E2-25\"......eq.2
\n" ); document.write( "__________________________\r
\n" ); document.write( "\n" ); document.write( "\"+x%2By=5\".....eq.1...solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"+y=-x%2B5\"....eq.1a.......substitute in eq.2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=x%5E2-25\"......eq.2\r
\n" ); document.write( "\n" ); document.write( "\"-x%2B5=x%5E2-25\".....solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"0=x%5E2%2Bx-5-25\"\r
\n" ); document.write( "\n" ); document.write( "or \"x%5E2%2Bx-30=0\".....write \"x\" as \"6x-5x\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B6x-5x-30=0\"....group\r
\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2B6x%29-%285x%2B30%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"x%28x%2B6%29-5%28x%2B6%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x-5%29%28x%2B6%29=0\"......use zero product rule to find solutions\r
\n" ); document.write( "\n" ); document.write( "if \"x-5=0\" => \"x=5\"\r
\n" ); document.write( "\n" ); document.write( "if \"x%2B6=0\" => \"x=-6\"\r
\n" ); document.write( "\n" ); document.write( "now find \"y\"\r
\n" ); document.write( "\n" ); document.write( "if \"highlight%28x=5%29\" => \"+y=-5%2B5\"=> \"+highlight%28y=0%29\"\r
\n" ); document.write( "\n" ); document.write( "if \"highlight%28x=-6%29\" => \"+y=-%28-6%29%2B5\"=> \"+y=6%2B5\" => \"+highlight%28y=11%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );