document.write( "Question 73181: Solve by either elimination, substitution or Crammer's Rule.
\n" ); document.write( "I am not sure how to do this problem since there is more than one # on the right side of the =. Please help.\r
\n" ); document.write( "\n" ); document.write( "y=10-2z-x
\n" ); document.write( "4x-y=2
\n" ); document.write( "-5+5z=4x+3y
\n" ); document.write( "

Algebra.Com's Answer #52430 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Rearrange the equations in the form ax+by+cz = d
\n" ); document.write( "y=10-2z-x
\n" ); document.write( "4x-y=2
\n" ); document.write( "-5+5z=4x+3y
\n" ); document.write( "-------------
\n" ); document.write( "x+y+2z = 10
\n" ); document.write( "4x-y+0z = 2
\n" ); document.write( "4x+3y-5z=-5
\n" ); document.write( "----------------
\n" ); document.write( "The \"coefficient\" matrix has determinant (5+24+0)-(-8+0-20)=57
\n" ); document.write( "The \"x\" matrix determinant is 62
\n" ); document.write( "The \"y\" matrix determinant is 134
\n" ); document.write( "The \"z\" matrix determinant is 187
\n" ); document.write( "---------
\n" ); document.write( "x=62/57
\n" ); document.write( "y=134/57
\n" ); document.write( "z=187/57
\n" ); document.write( "-----------
\n" ); document.write( "Using matrix multiplication (A^-1B) I get the same answer.
\n" ); document.write( "Cheer,
\n" ); document.write( "Stan H.
\n" ); document.write( "
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