document.write( "Question 76689: Solve the system by addition.
\n" );
document.write( " –3x – 5y = –5
\n" );
document.write( " x – 2y = 9 \n" );
document.write( "
Algebra.Com's Answer #55006 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! Solve the system by addition. \n" ); document.write( " –3x – 5y = –5 \n" ); document.write( " x – 2y = 9 \n" ); document.write( "Multiply the second equation by 3 and add it to the first equation to eliminate the x's and solve for y: \n" ); document.write( "3(x-2y)=3(9)--->3x-6y=27 \n" ); document.write( ": \n" ); document.write( "-3x-5y=-5 \n" ); document.write( " 3x-6y=27 \n" ); document.write( "---------- \n" ); document.write( "0-11y=22 \n" ); document.write( "-11y=22 \n" ); document.write( "-11y/-11=22/-11 \n" ); document.write( "y=-2 \n" ); document.write( "Plug -2 in for y in either equation and solve for x, I'm going with the second equation because it's slightly easier. \n" ); document.write( "x-2(-2)=9 \n" ); document.write( "x+4=9 \n" ); document.write( "x+4-4=9-4 \n" ); document.write( "x=5 \n" ); document.write( "The solution (x,y)=(5,-2) \n" ); document.write( "Happy Calculating!!!! \n" ); document.write( " |