document.write( "Question 61037: Solve the system by addition. –3x – 4y = –2
\n" ); document.write( " x + 3y = –6 \n" ); document.write( "
Algebra.Com's Answer #42005 by uma(370)\"\" \"About 
You can put this solution on YOUR website!
given -3x - 4y = -2 --------------(1)
\n" ); document.write( " x + 3y = -6 -----------------(2)\r
\n" ); document.write( "\n" ); document.write( "Direct addition will not eliminate one variable as the coefficients are different.
\n" ); document.write( "We first make the coefficients of x equal and then add.
\n" ); document.write( " -3x - 4y = -2 -------------(1)
\n" ); document.write( " 3x + 9y = -18 -------------(2)\r
\n" ); document.write( "\n" ); document.write( "Adding the above we get,
\n" ); document.write( "5y = - 20
\n" ); document.write( "==> 5y/5 = - 20/5
\n" ); document.write( "==> y = -4
\n" ); document.write( "Plugging this in (2) ,
\n" ); document.write( "x + 3(-4) = -6
\n" ); document.write( "==> x - 12 = - 6
\n" ); document.write( "==> x - 12 + 12 = -6 + 12
\n" ); document.write( "==> x = 6\r
\n" ); document.write( "\n" ); document.write( "Thus x = 6 and y = - 4\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Good Luck!!!
\n" ); document.write( " \n" ); document.write( "
\n" );