document.write( "Question 869304: solve using addition/elimination
\n" ); document.write( "x+y+z=0
\n" ); document.write( "x-y+4z=17
\n" ); document.write( "2x+y+z=-4 \n" ); document.write( "
Algebra.Com's Answer #524123 by mananth(16946)\"\" \"About 
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1 x + 1 y + 1 z = 0 -------------- 1
\n" ); document.write( "1 x + -1 y 4 z = 17 -------------- 2
\n" ); document.write( "2 x + 1 y + 1 z = -4 -------------- 3
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\n" ); document.write( "consider equation 1 &2 Eliminate y
\n" ); document.write( "Add the two
\n" ); document.write( "2 x + 0 y + 5 z = 17 ------------- 4
\n" ); document.write( "consider equation 2 & 3 Eliminate y
\n" ); document.write( "
\n" ); document.write( "Add the two
\n" ); document.write( "3 x + 0 y + 5 z = 13 -------------5 5
\n" ); document.write( "Consider (4) & (5) Eliminate x
\n" ); document.write( "Multiply 4 by -3
\n" ); document.write( "Multiply (5) by 2
\n" ); document.write( "we get
\n" ); document.write( "-6 x + -15 z = -51
\n" ); document.write( "6 x + 10 z = 26
\n" ); document.write( "Add the two
\n" ); document.write( "0 x + -5 z = -25
\n" ); document.write( "/ -5
\n" ); document.write( "z = 5
\n" ); document.write( "3 x + 5 z= 13
\n" ); document.write( "3 x + 25 = 13
\n" ); document.write( " x = -4
\n" ); document.write( "Plug x & z in eq (1)
\n" ); document.write( "1 x + 1 y + 1 z = 0 -------------- 1
\n" ); document.write( " -4 + 1 y + 5 = 0
\n" ); document.write( " 1 y = -1
\n" ); document.write( " y = -1
\n" ); document.write( " x= -4 y= -1 z= 5
\n" ); document.write( " \n" ); document.write( "
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