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 #717961 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! 1) -2x-2y=−4 \n" ); document.write( ": \n" ); document.write( "2) 4x+3y=11 \n" ); document.write( ": \n" ); document.write( "multiply equation 1 by 2 \n" ); document.write( ": \n" ); document.write( "3) -4x -4y = -8 \n" ); document.write( ": \n" ); document.write( "add equation 3 to equation 2 \n" ); document.write( ": \n" ); document.write( "-y = 3 \n" ); document.write( ": \n" ); document.write( "y = -3 \n" ); document.write( ": \n" ); document.write( "substitute for y in equation 1 \n" ); document.write( ": \n" ); document.write( "-2x -2(-3) = -4 \n" ); document.write( ": \n" ); document.write( "-2x +6 = -4 \n" ); document.write( ": \n" ); document.write( "-2x = -10 \n" ); document.write( ": \n" ); document.write( "x = 5 \n" ); document.write( ": \n" ); document.write( "******************************************** \n" ); document.write( "x = 5 and y = -3 \n" ); document.write( ": \n" ); document.write( "substitute for x and y in equation 2 \n" ); document.write( ": \n" ); document.write( "4(5) +3(-3) = 11 \n" ); document.write( ": \n" ); document.write( "20 -9 = 11 \n" ); document.write( ": \n" ); document.write( "11 = 11 \n" ); document.write( ": \n" ); document.write( "our answer checks \n" ); document.write( "********************************************* \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |