document.write( "Question 1091411: Please help... I tried to solve this, but no result.
\n" ); document.write( "I eliminated z in 1&2,and 2&3, but both was 7x+5y=13. How can I get the answer as an ordered triple (x,y,z)?
\n" ); document.write( "solve the system for x,y,z
\n" ); document.write( "2x+3y-z=4 ....1)
\n" ); document.write( "3x-y+2z=5.....2)
\n" ); document.write( "x-4y+3z=1.....3)
\n" ); document.write( "Thank you. \n" ); document.write( "

Algebra.Com's Answer #705804 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Notice that if you add the equations (1) and (3) (both sides), you will get exactly the equation (2).\r\n" );
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document.write( "It means that the three equations (1),(2) and (3) are dependent.\r\n" );
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document.write( "On the physical level, it means that the equations (1),(2) and (3) carry the same information, as the only two equations (1) and (3).\r\n" );
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document.write( "So, you actually have two equations for three unknowns.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Therefore, it is not amazing that the system has infinitely many solutions.\r
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