document.write( "Question 458660: solve by substitution/elemination
\n" ); document.write( "{x-2y+3z=2} {-x-5y+2z=-11} {2x-y-4z=0}
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Algebra.Com's Answer #314642 by mananth(16946)\"\" \"About 
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x-2y+3z= 2-------------- 1
\n" ); document.write( "-x-5y+2z =-11--------------2
\n" ); document.write( "2x-y-4z= 0-------------- 3
\n" ); document.write( "consider equation 1 &2 Eliminate y
\n" ); document.write( "Multiply 1 by -5
\n" ); document.write( "Multiply 2 by 2
\n" ); document.write( "we get
\n" ); document.write( "-5x+10y-15z=-10
\n" ); document.write( "-2x-10y+ 4z=-22
\n" ); document.write( "Add the two
\n" ); document.write( "-7x+-11z =-32-------------4
\n" ); document.write( "consider equation 2 & 3 Eliminate y
\n" ); document.write( "Multiply 2 by -1
\n" ); document.write( "Multiply 3 by 5
\n" ); document.write( "we get
\n" ); document.write( "x+5y-2z= 11
\n" ); document.write( "10x-5y-20z=0
\n" ); document.write( "Add the two
\n" ); document.write( "11x-22z= 11-------------5
\n" ); document.write( "Consider (4) & (5)Eliminate x
\n" ); document.write( "Multiply 4 by -11
\n" ); document.write( "Multiply (5) by 7
\n" ); document.write( "we get
\n" ); document.write( "-77x+121z=352
\n" ); document.write( "77x-154z =77
\n" ); document.write( "Add the two
\n" ); document.write( "154x-33z =429
\n" ); document.write( "/-33
\n" ); document.write( "z=-13
\n" ); document.write( "Plug the value of z in 5
\n" ); document.write( "11x+286 =11
\n" ); document.write( "11x=-275
\n" ); document.write( "x=-25
\n" ); document.write( "plug value of x & z in 1
\n" ); document.write( "-25-2y-39=2
\n" ); document.write( "-2y=25+39+2
\n" ); document.write( "y=66
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