document.write( "Question 775830: how do you verify that your solution is correct for this equation?
\n" ); document.write( "x+y=20
\n" ); document.write( "x-y=4
\n" ); document.write( "

Algebra.Com's Answer #473193 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"x%2By=20\".......eq.1
\n" ); document.write( "\"x-y=4\".....eq.2
\n" ); document.write( "______________________ first find solutions that make both equations true\r
\n" ); document.write( "\n" ); document.write( "\"x%2By=20\".......eq.1
\n" ); document.write( "\"x-y=4\".....eq.2
\n" ); document.write( "______________________...add eq.1 and eq.2\r
\n" ); document.write( "\n" ); document.write( "\"x%2By%2Bx-y=20%2B4\"\r
\n" ); document.write( "\n" ); document.write( "\"2x%2Bcross%28y%29-cross%28y%29=24\"\r
\n" ); document.write( "\n" ); document.write( "\"2x=24\"\r
\n" ); document.write( "\n" ); document.write( "\"x=24%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=12%29\"\r
\n" ); document.write( "\n" ); document.write( "now find \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2By=20\".......eq.1...plug in \"x=12\"\r
\n" ); document.write( "\n" ); document.write( "\"12%2By=20\"\r
\n" ); document.write( "\n" ); document.write( "\"y=20-12\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28y=8%29\"\r
\n" ); document.write( "\n" ); document.write( "to verify that your solution is correct, go back to original equations and plug in values for \"x\" and \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2By=20\".......eq.1
\n" ); document.write( "\"12%2B8=20\"
\n" ); document.write( "\"20=20\"\r
\n" ); document.write( "\n" ); document.write( "\"x-y=4\".....eq.2
\n" ); document.write( "\"12-8=4\"
\n" ); document.write( "\"4=4\"........since the left side of the equation is same as the right side in both eq.1 and eq.2 means your solution is correct\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );