document.write( "Question 233846: Solve the following system of equations using matrices: x+y+z= -9, x-y+5z= -19, 5x+y+z= -29. \n" ); document.write( "
Algebra.Com's Answer #172573 by Alan3354(69443)\"\" \"About 
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Solve the following system of equations using matrices:
\n" ); document.write( "x+y+z= -9, x-y+5z= -19, 5x+y+z= -29.
\n" ); document.write( "---------
\n" ); document.write( "|+1 +1 +1 -9|
\n" ); document.write( "|+1 -1 +5 -19|
\n" ); document.write( "|+5 +1 +1 -29|
\n" ); document.write( "----------
\n" ); document.write( "Det = 1(-1-5) -1(1-25) +1(1+5) = -6 + 24 + 6
\n" ); document.write( "Det = 24
\n" ); document.write( "---------
\n" ); document.write( "x*Det = 1(-145+19) -1(29+19) -9(-1-5) = -126 - 48 + 54 = - 120
\n" ); document.write( "x = -5
\n" ); document.write( "------
\n" ); document.write( "-y*Det = 1(-145+19) -1(-29+95) -9(1-25) = -126 - 66 + 216 = 24
\n" ); document.write( "y = -1
\n" ); document.write( "--------
\n" ); document.write( "z*Det = 1(29+19) -1(-29+95) -9(1+5) = 48 - 66 - 54 = -72
\n" ); document.write( "z = -3
\n" ); document.write( " \n" ); document.write( "
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