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21 x + -7 y + 51 z = 141 -------------- 1
\n" ); document.write( "13 x + 9 y -5 z = -19 -------------- 2
\n" ); document.write( "19 x + -8 y + 23 z 30 -------------- 3
\n" ); document.write( "
\n" ); document.write( "consider equation 1 &2 Eliminate y
\n" ); document.write( "Multiply 1 by 9
\n" ); document.write( "Multiply 2 by 7
\n" ); document.write( "we get
\n" ); document.write( "189 x + -63 y + 459 z = 1269
\n" ); document.write( "91 x + 63 y + -35 z = -133
\n" ); document.write( "Add the two
\n" ); document.write( "280 x + 0 y + 424 z = 1136 ------------- 4
\n" ); document.write( "consider equation 2 & 3 Eliminate y
\n" ); document.write( "Multiply 2 by 8
\n" ); document.write( "Multiply 3 by 9
\n" ); document.write( "we get
\n" ); document.write( "104 x + 72 y + -40 z = -152
\n" ); document.write( "171 x + -72 y + 207 z = 0
\n" ); document.write( "Add the two
\n" ); document.write( "275 x + 0 y + 167 z = -152 -------------5 5
\n" ); document.write( "Consider (4) & (5) Eliminate x
\n" ); document.write( "Multiply 4 by -275
\n" ); document.write( "Multiply (5) by 280
\n" ); document.write( "we get 2
\n" ); document.write( "-77000 x + -116600 z = -312400
\n" ); document.write( "77000 x + 46760 z = -42560
\n" ); document.write( "Add the two
\n" ); document.write( "0 x + -69840 z = -354960
\n" ); document.write( "/ -69840
\n" ); document.write( "z = 5.08 OR 5 8/97
\n" ); document.write( "
\n" ); document.write( "Plug the value of z in (5)
\n" ); document.write( "275 x + 848.77 = -152
\n" ); document.write( "275 x = -1000.77
\n" ); document.write( "x = -3.64 OR -3 62/97
\n" ); document.write( "plug value of x & z in 1
\n" ); document.write( "-76.42 + -7 y + 259.21 = 141
\n" ); document.write( "-7 y = 76.42 + -259.21 + 141
\n" ); document.write( "y = 5.97 OR 6
\n" ); document.write( " CHECK
\n" ); document.write( "Plug values of x,y,z in (2)
\n" ); document.write( "
\n" ); document.write( "13 -3.64 + 9 5.97 -5 5.08 = -19
\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( "