document.write( "Question 186410: systems by elimination \r
\n" ); document.write( "\n" ); document.write( "6x-7y=21
\n" ); document.write( "3x+7y=6\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "answer:(3, -3/7)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "need a full break down of how my book got this answer i understand how they got the 3 but dont understand how they got -3/7
\n" ); document.write( "

Algebra.Com's Answer #139714 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
If you understand how they got the '3' in the ordered pair , then this simply means that they found that \"x=3\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now pick any equation (I'm going to pick the first one, it doesn't matter which one you choose). \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"6x-7y=21\" Start with the first equation\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"6%283%29-7y=21\" Plug in the previously found solution \"x=3\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"18-7y=21\" Multiply\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-7y=21-18\" Subtract 18 from both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-7y=3\" Combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=3%2F%28-7%29\" Divide both sides by -7 to isolate 'y'\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=-3%2F7\" Reduce.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the other solution is \"y=-3%2F7\" which means that the ordered pair solution is
\n" ); document.write( "
\n" );