document.write( "Question 1027945: Please help me solve the following for x, y, and z. and please show the work.\r
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document.write( "3x+2y+z=8
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document.write( "2x-3y+2z=-16
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document.write( "x+4y-z=20 \n" );
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Algebra.Com's Answer #643117 by mananth(16946)![]() ![]() You can put this solution on YOUR website! By elimination method\r \n" ); document.write( "\n" ); document.write( "3 x + 2 y + 1 z = 8 -------------- 1 \n" ); document.write( "2 x + -3 y 2 z = -16 -------------- 2 \n" ); document.write( "1 x + 4 y + -1 z 20 -------------- 3 \n" ); document.write( " \n" ); document.write( "consider equation 1 &2 Eliminate y \n" ); document.write( "Multiply 1 by 3 -5 \n" ); document.write( "Multiply 2 by 2 4 \n" ); document.write( "we get \n" ); document.write( "9 x + 6 y + 3 z = 24 \n" ); document.write( "4 x + -6 y + 4 z = -32 \n" ); document.write( "Add the two \n" ); document.write( "13 x + 0 y + 7 z = -8 ------------- 4 \n" ); document.write( "consider equation 2 & 3 Eliminate y \n" ); document.write( "Multiply 2 by 4 \n" ); document.write( "Multiply 3 by 3 \n" ); document.write( "we get \n" ); document.write( "8 x + -12 y + 8 z = -64 \n" ); document.write( "3 x + 12 y + -3 z = 60 \n" ); document.write( "Add the two \n" ); document.write( "11 x + 0 y + 5 z = -4 -------------5 5 \n" ); document.write( "Consider (4) & (5) Eliminate x \n" ); document.write( "Multiply 4 by -11 \n" ); document.write( "Multiply (5) by 13 \n" ); document.write( "we get \n" ); document.write( "-143 x + -77 z = 88 \n" ); document.write( "143 x + 65 z = -52 \n" ); document.write( "Add the two \n" ); document.write( "0 x + -12 z = 36 \n" ); document.write( "/ -12 \n" ); document.write( "z = -3 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Plug the value of z in (5) \n" ); document.write( "11 x + 5 z = -4 \n" ); document.write( "11 x = 11 \n" ); document.write( "x = 1 \n" ); document.write( "x=1, z=-3\r \n" ); document.write( "\n" ); document.write( "Plug the values to get y\r \n" ); document.write( "\n" ); document.write( "y=4 \n" ); document.write( " |