document.write( "Question 897529: Hello. I hope I put this question in the correct topic. I am norwegian, and I don't know the English equivalent of my question. Anyway, here goes:\r
\n" ); document.write( "\n" ); document.write( "x+2y+3z=14 I
\n" ); document.write( "4x-y-z=-1 II
\n" ); document.write( "7x+5y+z=20 III\r
\n" ); document.write( "\n" ); document.write( "What is x, y and z? (If you can show it from where I last learned, and figured out, that would be great):
\n" ); document.write( "x = 14-2y-3z
\n" ); document.write( "-> 4(14-2y-3z)-y-z=-1
\n" ); document.write( "-> 7(14-2y-3z)+5y+z=20\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "PS: I got
\n" ); document.write( "-9y-13z=-57
\n" ); document.write( "-9y-20z=-78 What then? (...if correct up to here)\r
\n" ); document.write( "\n" ); document.write( "Thank you so much in advance!! :)
\n" ); document.write( "

Algebra.Com's Answer #544175 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
1,2,3,14
\n" ); document.write( "4,-1,-1,-1
\n" ); document.write( "7,5,1,20\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "add down (-4) *row 1 to row 2
\n" ); document.write( "1,2,3,14
\n" ); document.write( "0,-9,-13,-57
\n" ); document.write( "7,5,1,20\r
\n" ); document.write( "\n" ); document.write( "add down (-7) *row 1 to row 3
\n" ); document.write( "1,2,3,14
\n" ); document.write( "0,-9,-13,-57
\n" ); document.write( "0,-9,-20,-78\r
\n" ); document.write( "\n" ); document.write( "divide row 2 by -9
\n" ); document.write( "1,2,3,14
\n" ); document.write( "0,1,-13/-9,-57/-9
\n" ); document.write( "0,-9,-20,-78\r
\n" ); document.write( "\n" ); document.write( "add down (9) *row 2 to row 3
\n" ); document.write( "1,2,3,14
\n" ); document.write( "0,1,13/9,19/3
\n" ); document.write( "0,0,-7,-21\r
\n" ); document.write( "\n" ); document.write( "divide row 3 by -7
\n" ); document.write( "1,2,3,14
\n" ); document.write( "0,1,13/9,19/3
\n" ); document.write( "0,0,1,3\r
\n" ); document.write( "\n" ); document.write( "We now have the value for the last variable.
\n" ); document.write( "We will work our way up and get the other solutions.\r
\n" ); document.write( "\n" ); document.write( "add up (-13/9) *row 3 to row 2
\n" ); document.write( "1,2,3,14
\n" ); document.write( "0,1,0,2
\n" ); document.write( "0,0,1,3\r
\n" ); document.write( "\n" ); document.write( "add up (-3) *row 3 to row 1
\n" ); document.write( "1,2,0,5
\n" ); document.write( "0,1,0,2
\n" ); document.write( "0,0,1,3\r
\n" ); document.write( "\n" ); document.write( "add up (-2) *row 2 to row 1
\n" ); document.write( "1,0,0,1
\n" ); document.write( "0,1,0,2
\n" ); document.write( "0,0,1,3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1,0,0,1
\n" ); document.write( "0,1,0,2
\n" ); document.write( "0,0,1,3
\n" ); document.write( "\"1\",\"2\",\"3\"
\n" ); document.write( "(1,2,3)
\n" ); document.write( "
\n" ); document.write( "
\n" );