document.write( "Question 1002471: X+5y-4z=20
\n" ); document.write( "-3x-14y+z=-25
\n" ); document.write( "5x-8y-2z=-20
\n" ); document.write( "

Algebra.Com's Answer #619510 by ikleyn(52873)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "X+5y-4z=20
\n" ); document.write( "-3x-14y+z=-25
\n" ); document.write( "5x-8y-2z=-20\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Using the Cramer's rule
\n" ); document.write( "(see the lesson  Solving systems of linear equations in three unknowns using determinant (Cramer's rule)  in this site):\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Determinant is  D = -345.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Dx = 690.       -----> x = \"Dx%2FD\" = \"690%2F%28-345%29\" = -2.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Dy = -690.       ----> y = \"Dy%2FD\" = \"%28-690%29%2F%28-345%29\" = 2.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "z = \"%2820+-+%28x+%2B+5y%29%29%2F%28-4%29\" = \"%2820-%28-2%2B5%2A2%29%29%2F%28-4%29\" = \"%2820-8%29%2F%28-4%29\" = \"12%2F%28-4%29\" = -3.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer.  x = -2,  y = 2,  z = -3.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );