document.write( "Question 120346: elimination substitution, or graphing best fits 2x-2y=-4 and y=2 \n" ); document.write( "
Algebra.Com's Answer #88218 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Substitution is the best method since the second equation has already been solved for y\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Start with the given system\r
\n" ); document.write( "\n" ); document.write( "\"2x-2y=-4\"
\n" ); document.write( "\"y=2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2x-2%282%29=-4\" Plug in \"y=2\" into the first equation. In other words, replace each \"y\" with \"2\". Notice we've eliminated the \"y\" variables. So we now have a simple equation with one unknown.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2x-4=-4\" Distribute\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2x=-4%2B4\"Add 4 to both sides\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2x=0\" Combine like terms on the right side\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%280%29%2F%282%29\" Divide both sides by 2 to isolate x\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=0\" Divide\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So our answer is \"x=0\" and \"y=2\" which also looks like (0,2)
\n" ); document.write( "
\n" );