document.write( "Question 769570: solve the system, show steps please\r
\n" ); document.write( "\n" ); document.write( "2x+y+3=0
\n" ); document.write( "x^2+y^2=5\r
\n" ); document.write( "\n" ); document.write( "i keep geting x=plus or negative (4/3)^(1/2) then i am completely lost as to what step to take next. thank you
\n" ); document.write( "

Algebra.Com's Answer #468924 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"2x%2By%2B3=0\"......eq.1
\n" ); document.write( "\"x%5E2%2By%5E2=5\".....eq.2
\n" ); document.write( "__________________________\r
\n" ); document.write( "\n" ); document.write( "\"2x%2By%2B3=0\"......eq.1.....solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"y=-2x-3\"....eq.1a....substitute in eq.2\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B%28-2x-3%29%5E2=5\".....eq.2...solve for \"x\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B%28%28-2x%29%5E2-2x%28-3%29%2B3%5E2%29=5\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B4x%5E2%2B12x%2B9=5\"\r
\n" ); document.write( "\n" ); document.write( "\"5x%5E2%2B12x%2B9-5=0\"\r
\n" ); document.write( "\n" ); document.write( "\"5x%5E2%2B12x%2B4=0\"....use quadratic formula to find \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-12%2B-+sqrt%28+12%5E2-4%2A5%2A4+%29%29%2F%282%2A5%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-12+%2B-+sqrt%28144+-80%29%29%2F10+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-12+%2B-+sqrt%2864%29%29%2F10+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-12+%2B-+8%29%2F10+\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-12+%2B+8%29%2F10+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+-4%2F10+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+-2%2F5+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+-0.4+\"\r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-12+-+8%29%2F10+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+-20%2F10+\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+-2+\"\r
\n" ); document.write( "\n" ); document.write( "now go to eq.1a and find \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"y=-2x-3\"....eq.1a ...plug in \"x+=+-0.4+\"\r
\n" ); document.write( "\n" ); document.write( "\"y=-2%28-0.4%29-3\"\r
\n" ); document.write( "\n" ); document.write( "\"y=0.8-3\"\r
\n" ); document.write( "\n" ); document.write( "\"y=-2.2\"\r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "\"y=-2x-3\"....plug in \"x+=+-2+\"\r
\n" ); document.write( "\n" ); document.write( "\"y=-2%28-2%29-3\"\r
\n" ); document.write( "\n" ); document.write( "\"y=4-3\"\r
\n" ); document.write( "\n" ); document.write( "\"y=1\"\r
\n" ); document.write( "\n" ); document.write( "solution pairs are:\r
\n" ); document.write( "\n" ); document.write( "\"x+=+-0.4+\" and \"y=-2.2\"
\n" ); document.write( "\"x+=+-2+\" and \"y=1\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );