document.write( "Question 431199: solvinng system of equation using three variables\r
\n" ); document.write( "\n" ); document.write( "6x-y+z=2
\n" ); document.write( "4x+2y-3z=18
\n" ); document.write( "x-3y+2z=-5 \n" ); document.write( "
Algebra.Com's Answer #299341 by mananth(16946)\"\" \"About 
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6x-y+z = 2-------------- 1
\n" ); document.write( "4x+2y-3 z=18--------------2
\n" ); document.write( "x-3y+2z=-5--------------3
\n" ); document.write( "consider equation 1 &2 Eliminate y
\n" ); document.write( "Multiply 1 by 2
\n" ); document.write( "Multiply 2 by 1
\n" ); document.write( "we get
\n" ); document.write( "12x-2y +2z=4
\n" ); document.write( "4x+2y-3z=18
\n" ); document.write( "Add the two
\n" ); document.write( "16x-1z=22-------------4
\n" ); document.write( "consider equation 2 & 3
\n" ); document.write( "Multiply 2 by 3
\n" ); document.write( "Multiply 3 by 2
\n" ); document.write( "we get
\n" ); document.write( "12x+6y-9z=54
\n" ); document.write( "2x-6y+4z=-10
\n" ); document.write( "Add the two
\n" ); document.write( "14x-5z=44 -------------5 5
\n" ); document.write( "Consider (4) & (5)
\n" ); document.write( "Multiply 4 by -14
\n" ); document.write( "Multiply (5) by 16
\n" ); document.write( " we get
\n" ); document.write( "-224x+14z=-308
\n" ); document.write( "224x-80z=704
\n" ); document.write( "Add the two
\n" ); document.write( "-66z=396
\n" ); document.write( "/-66
\n" ); document.write( "z=-6
\n" ); document.write( "
\n" ); document.write( "Plug the value of z in 5
\n" ); document.write( "14x+30 =44
\n" ); document.write( "14x=14
\n" ); document.write( "x=1
\n" ); document.write( "plug value of x & z in 1
\n" ); document.write( "6-1y-6= 2
\n" ); document.write( "-y=-6+6+2
\n" ); document.write( "-y=2
\n" ); document.write( "y=-2
\n" ); document.write( " \n" ); document.write( "
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