document.write( "Question 919405: im thinking of two numbers. when i double the double the first and add it to the second the total is thirteen. when i double the second and take it away from the first i get minus one whats are the two numbers \n" ); document.write( "
Algebra.Com's Answer #557712 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "thinking of two numbers:\"x\" and \"y\"\r
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\n" ); document.write( "\n" ); document.write( " when i double the first and add it to the second the total is thirteen:\r
\n" ); document.write( "\n" ); document.write( "\"2x%2By=13\".......eq.1\r
\n" ); document.write( "\n" ); document.write( " when i double the second and take it away from the first i get minus one: \r
\n" ); document.write( "\n" ); document.write( "\"x-2y=-1\".......eq.2\r
\n" ); document.write( "\n" ); document.write( "solve the system:\r
\n" ); document.write( "\n" ); document.write( "\"2x%2By=13\".......eq.1
\n" ); document.write( "\"x-2y=-1\".......eq.2....both sides multiply by \"2\"
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\n" ); document.write( "\n" ); document.write( "\"2x%2By=13\".......eq.1
\n" ); document.write( "\"2x-4y=-2\".......eq.2
\n" ); document.write( "______________________________________subtract eq.2 from eq.1\r
\n" ); document.write( "\n" ); document.write( "\"2x%2By-%282x-4y%29=13-%28-2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"2x%2By-2x%2B4y=13%2B2\"\r
\n" ); document.write( "\n" ); document.write( "\"cross%282x%29%2By-cross%282x%29%2B4y=15\"\r
\n" ); document.write( "\n" ); document.write( "\"y%2B4y=15\"\r
\n" ); document.write( "\n" ); document.write( "\"5y=15\"\r
\n" ); document.write( "\n" ); document.write( "\"y=15%2F5\"\r
\n" ); document.write( "\n" ); document.write( "\"y=3\"\r
\n" ); document.write( "\n" ); document.write( "now find \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x-2y=-1\".......eq.2..plug in \"3\" for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"x-2%2A3=-1\"\r
\n" ); document.write( "\n" ); document.write( "\"x-6=-1\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-1%2B6\"\r
\n" ); document.write( "\n" ); document.write( "\"x=5\"\r
\n" ); document.write( "\n" ); document.write( "so, your numbers are: \"x=5\" and \"y=3\"\r
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