document.write( "Question 224074: using elimination how do u find (x,y and z) using these 3 equations?
\n" ); document.write( "3x+2y-z=-1
\n" ); document.write( "x+3y-z=-10
\n" ); document.write( "2x-y-3z=3 \n" ); document.write( "
Algebra.Com's Answer #167405 by stanbon(75887)\"\" \"About 
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using elimination how do u find (x,y and z) using these 3 equations?
\n" ); document.write( "3x+2y-z=-1
\n" ); document.write( "x+3y-z=-10
\n" ); document.write( "2x-y-3z=3
\n" ); document.write( "-------------------
\n" ); document.write( "Let the 2nd equation be the 1st:\r
\n" ); document.write( "\n" ); document.write( "x+3y-z=-10
\n" ); document.write( "3x+2y-z=-1
\n" ); document.write( "2x-y-3z=3
\n" ); document.write( "-------------------
\n" ); document.write( "Subtract 3 times 1st from 2nd:
\n" ); document.write( "Subtract 2 times 1st from 3rd:\r
\n" ); document.write( "\n" ); document.write( "x+3y-z=-10
\n" ); document.write( "0x-7y+2Z=29
\n" ); document.write( "0x-7y-z=23
\n" ); document.write( "------------------
\n" ); document.write( "Subtract 2nd from 3rd:
\n" ); document.write( "x+3y-z=-10
\n" ); document.write( "0x-7y+2Z=29
\n" ); document.write( "0x+0y-3z=-6
\n" ); document.write( "----------------
\n" ); document.write( "Solve the 3rd equation to get z = 2
\n" ); document.write( "---
\n" ); document.write( "Substitute that into the 2nd to get:
\n" ); document.write( "-7y+4 = 29
\n" ); document.write( "-7y = 25
\n" ); document.write( "y = -25/7
\n" ); document.write( "-----------------
\n" ); document.write( "Substitute those into the 1st to get:
\n" ); document.write( "x = 19/7
\n" ); document.write( "======================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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