document.write( "Question 108482: Solve the system by addition.
\n" ); document.write( " 4x – 6y = –1
\n" ); document.write( " 8x + 3y = 3
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #79157 by elima(1433)\"\" \"About 
You can put this solution on YOUR website!
4x – 6y = –1
\n" ); document.write( "8x + 3y = 3
\n" ); document.write( "==============
\n" ); document.write( "This is also called elimination, you want to eliminate one of the variables.
\n" ); document.write( "So we will try to eliminate the x, so I will multiply the first equation by -2,
\n" ); document.write( "(-2)4x-6y=-1
\n" ); document.write( "-8x+12y=2----new equation
\n" ); document.write( "Now lets take the new equation and add it to the original second;
\n" ); document.write( "\"cross+%28-8x%29%2B12y=2\"
\n" ); document.write( "\"cross+++%288x%29%2B3y=3\"
\n" ); document.write( " _________
\n" ); document.write( "15y=5
\n" ); document.write( "\"y=5%2F15\"
\n" ); document.write( "\"y=1%2F3\"
\n" ); document.write( "Now we will plug y=1/3 into one of the original equations for y;
\n" ); document.write( "4x-6(1/3)=-1
\n" ); document.write( "4x-2=-1
\n" ); document.write( "4x=1
\n" ); document.write( "x=1/4
\n" ); document.write( "check:
\n" ); document.write( "4(1/4)-6(1/3)=-1
\n" ); document.write( "1-2=-1
\n" ); document.write( ":)
\n" ); document.write( "
\n" );