document.write( "Question 146652: Solve the following linear system for x using Cramer's rule show work\r
\n" ); document.write( "\n" ); document.write( "x+2y-3z=-22
\n" ); document.write( "2s-6y+8z=74
\n" ); document.write( "-x-2y+4z=29
\n" ); document.write( "

Algebra.Com's Answer #107099 by Alan3354(69443)\"\" \"About 
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x+2y-3z=-22
\n" ); document.write( "2s-6y+8z=74
\n" ); document.write( "-x-2y+4z=29
\n" ); document.write( "-------------
\n" ); document.write( "Find the determinant first.\r
\n" ); document.write( "\n" ); document.write( "1 2 -3
\n" ); document.write( "2 -6 8
\n" ); document.write( "-1 -2 4
\n" ); document.write( "-----------
\n" ); document.write( "1*(-24 + 16) -2*(8 + 8) -3*(-4 -6)
\n" ); document.write( "= -8 -32 +30
\n" ); document.write( "= -10
\n" ); document.write( "-------------
\n" ); document.write( "x =
\n" ); document.write( "2 -3 -22
\n" ); document.write( "-6 8 74
\n" ); document.write( "-2 4 29
\n" ); document.write( "divided by the Det\r
\n" ); document.write( "\n" ); document.write( "-10x = 2*(232 - 296) +3*(-174 + 148) -22*(-24 + 16)
\n" ); document.write( "-10x = -128 -78 +176
\n" ); document.write( "-10x = -30
\n" ); document.write( "x = 3
\n" ); document.write( "-------
\n" ); document.write( "10y =
\n" ); document.write( "1 -3 -22
\n" ); document.write( "2 8 74
\n" ); document.write( "-1 4 29
\n" ); document.write( "-----------
\n" ); document.write( "10y = 1*(232-296) + 3*(58+74) -22*(8+8)
\n" ); document.write( "10y = -64 + 396 -352
\n" ); document.write( "10y = -20
\n" ); document.write( "y = -2
\n" ); document.write( "-------------
\n" ); document.write( "-10z =
\n" ); document.write( "1 2 -22
\n" ); document.write( "2 -6 74
\n" ); document.write( "-1 -2 29
\n" ); document.write( "-----------
\n" ); document.write( "-10z = 1*(-174 + 148) - 2*(58 + 74) -22*(-4 -6)
\n" ); document.write( "-10z = -26 -264 +220
\n" ); document.write( "-10z = -70
\n" ); document.write( "z = 7
\n" ); document.write( "I'm working on an Excel program to do this.
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