document.write( "Question 558692: Solve system of equations\r
\n" ); document.write( "\n" ); document.write( "2x+y+z=4
\n" ); document.write( "3x-y+4z=11
\n" ); document.write( "x-y+5z=20
\n" ); document.write( "

Algebra.Com's Answer #363133 by mananth(16946)\"\" \"About 
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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
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\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
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