document.write( "Question 1003316: what two numbers add to negative 6 and multiply to negative 91 \n" ); document.write( "
Algebra.Com's Answer #620066 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "let two numbers be \"x\" and \"y\"\r
\n" ); document.write( "\n" ); document.write( "if they add to negative \"6\", we have\r
\n" ); document.write( "\n" ); document.write( "\"x%2By=-6\"..........eq.1\r
\n" ); document.write( "\n" ); document.write( " and if they multiply to negative \"91\", we have\r
\n" ); document.write( "\n" ); document.write( "\"x%2Ay=-91\"..........eq.2\r
\n" ); document.write( "\n" ); document.write( "solve the system:
\n" ); document.write( "\"x%2By=-6\"..........eq.1
\n" ); document.write( "\"x%2Ay=-91\"..........eq.2
\n" ); document.write( "-----------------------------\r
\n" ); document.write( "\n" ); document.write( "start with \"x%2By=-6\"..........eq.1, solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-6-y\"....substitute it in eq.2 and solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"%28-6-y%29%2Ay=-91\"..........eq.2\r
\n" ); document.write( "\n" ); document.write( "\"-6y-y%5E2=-91\" \r
\n" ); document.write( "\n" ); document.write( "\"0=y%5E2%2B6y-91\" \r
\n" ); document.write( "\n" ); document.write( "\"0=y%5E2%2B6y-91\" ......factor completely\r
\n" ); document.write( "\n" ); document.write( "\"0=y%5E2-7y%2B13y-91\"\r
\n" ); document.write( "\n" ); document.write( "\"0=%28y%5E2-7y%29%2B%2813y-91%29\"\r
\n" ); document.write( "\n" ); document.write( "\"0=y%28y-7%29%2B13%28y-7%29\"\r
\n" ); document.write( "\n" ); document.write( "\"0=%28y%2B13%29%28y-7%29\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if \"0=%28y%2B13%29\"=>\"y=-13\"
\n" ); document.write( "if \"0=%28y-7%29\"=>\"y=7\"\r
\n" ); document.write( "\n" ); document.write( "now find \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2By=-6\"..........if \"y=-13\"\r
\n" ); document.write( "\n" ); document.write( "\"x-13=-6\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-6%2B13\"\r
\n" ); document.write( "\n" ); document.write( "\"x=7\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2By=-6\"..........if \"y=7\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2B7=-6\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-6-7\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-13\"\r
\n" ); document.write( "\n" ); document.write( "so, your numbers are:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=7\" and \"y=-13\" \r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "\"x=-13\" and \"y=7\" \r
\n" ); document.write( "
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