Question 146652
x+2y-3z=-22
2s-6y+8z=74
-x-2y+4z=29
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Find the determinant first.

1   2  -3
2  -6   8
-1 -2   4
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1*(-24 + 16) -2*(8 + 8) -3*(-4 -6)
= -8 -32 +30
= -10
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x =
2  -3  -22
-6  8  74
-2  4  29
divided by the Det

-10x = 2*(232 - 296) +3*(-174 + 148) -22*(-24 + 16)
-10x = -128 -78 +176
-10x = -30
x = 3
-------
10y =
1  -3  -22
2   8   74
-1  4   29
-----------
10y = 1*(232-296) + 3*(58+74) -22*(8+8)
10y = -64 + 396 -352
10y = -20
y = -2
-------------
-10z = 
1   2  -22
2  -6   74
-1 -2   29
-----------
-10z = 1*(-174 + 148) - 2*(58 + 74) -22*(-4 -6)
-10z = -26 -264 +220
-10z = -70
z = 7
I'm working on an Excel program to do this.