document.write( "Question 1104814: x-y-2z=4
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document.write( "-x+2y+z=1
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document.write( "-x+y-3z=11 \n" );
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Algebra.Com's Answer #719492 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! 1) x -y -2z = 4 \n" ); document.write( ": \n" ); document.write( "2) -x + 2y +z =1 \n" ); document.write( ": \n" ); document.write( "3) -x +y -3z = 11 \n" ); document.write( ": \n" ); document.write( "add equations 1 and 3 \n" ); document.write( ": \n" ); document.write( "4) -5z = 15 \n" ); document.write( ": \n" ); document.write( "solve equation 4 for z \n" ); document.write( ": \n" ); document.write( "z = -3 \n" ); document.write( ": \n" ); document.write( "substitute for z in equations 1 and 2 \n" ); document.write( ": \n" ); document.write( "x -y -2(-3) = 4 \n" ); document.write( ": \n" ); document.write( "5) x -y = -2 \n" ); document.write( ": \n" ); document.write( "-x +2y -3 = 1 \n" ); document.write( ": \n" ); document.write( "6) -x +2y = 4 \n" ); document.write( ": \n" ); document.write( "add equations 5 and 6 \n" ); document.write( ": \n" ); document.write( "y = 2 \n" ); document.write( ": \n" ); document.write( "so far we have y = 2 and z = -3 \n" ); document.write( ": \n" ); document.write( "substitute for y and z in equation 1 \n" ); document.write( ": \n" ); document.write( "x -2 -2(-3) = 4 \n" ); document.write( ": \n" ); document.write( "x = 0 \n" ); document.write( ": \n" ); document.write( "********************************************** \n" ); document.write( "we have x=0, y=2 and z=-3 \n" ); document.write( ": \n" ); document.write( "check our answer by substituting for x, y, z in equations 1, 2, 3 \n" ); document.write( ": \n" ); document.write( "1) 0 -2 -2(-3) = 4 \n" ); document.write( "4 = 4 \n" ); document.write( ": \n" ); document.write( "2) -0 + 2(2) +(-3) = 1 \n" ); document.write( "1 = 1 \n" ); document.write( ": \n" ); document.write( "3) -0 +2 -3(-3) = 11 \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( " |