document.write( "Question 558692: Solve system of equations\r
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document.write( "2x+y+z=4
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document.write( "3x-y+4z=11
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document.write( "x-y+5z=20 \n" );
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Algebra.Com's Answer #363133 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 2x+y+ z=4--------------1 \n" ); document.write( "3x-y+4z =11--------------2 \n" ); document.write( "x-y+5z= 20--------------3 \n" ); document.write( "Add the two \n" ); document.write( "5x+y+5z =15 ------------- 4 \n" ); document.write( "consider equation 2 & 3 Eliminate y \n" ); document.write( "Multiply 2 by -1 \n" ); document.write( "Multiply 3 by 1 \n" ); document.write( "we get \n" ); document.write( "-3x+y-4 z=-11 \n" ); document.write( "x-y+5z = -4 \n" ); document.write( "Add the two \n" ); document.write( "-2x+z = -15 -------------5 5 \n" ); document.write( "Consider (4) & (5) Eliminate x \n" ); document.write( "Multiply 4 by 2 \n" ); document.write( "Multiply (5) by 5 \n" ); document.write( "we get 2 \n" ); document.write( "10 x + 10 z = 30 \n" ); document.write( "-10 x + 5 z = -75 \n" ); document.write( "Add the two \n" ); document.write( "0 x + 15 z = -45 \n" ); document.write( "/ 15 \n" ); document.write( "z = -3 \n" ); document.write( " \n" ); document.write( "Plug the value of z in 5 \n" ); document.write( "-2 x + -3 = -15 \n" ); document.write( "-2 x = -12 \n" ); document.write( "x = 6 \n" ); document.write( "plug value of x & z in 1 \n" ); document.write( "12 + 1 y + -3 = 4 \n" ); document.write( "1 y = -12 + 3 + 4 \n" ); document.write( " y= -5 \n" ); document.write( " \n" ); document.write( " |