document.write( "Question 1103262: Solve the system of equations -2x-2y=−4 and 4x+3y=11 by combining the equations \n" ); document.write( "
Algebra.Com's Answer #717960 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! combining the equations is also known as adding and subtracting equations as well as the elimination method. \n" ); document.write( "1) -2x-2y=−4 \n" ); document.write( "2) 4x+3y=11 \n" ); document.write( "We notice that if we multiply the first equation by 2 we can then add the new equation 3) and 2) to eliminate x \n" ); document.write( "3) -4x-4y=−8 \n" ); document.write( "2) 4x+3y=11 \n" ); document.write( "-y=3 \n" ); document.write( "y=-3 \n" ); document.write( "substitute -3 in 2) \n" ); document.write( "4x+3y=11 \n" ); document.write( "4x+3(-3)=11 \n" ); document.write( "4x-9=11 \n" ); document.write( "4x=20 \n" ); document.write( "x=5 \n" ); document.write( "check in 1) \n" ); document.write( "-2x-2y=−4 \n" ); document.write( "-2(5)-2(-3)=-4 \n" ); document.write( "-10+6=-4 \n" ); document.write( "-4=-4 \n" ); document.write( "ok\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |