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| Question 4178:  solve the following system of linear equations:
 3x-2y+4z=1
 x+y+2Z=3
 2x-3y+6z=8
 Answer by longjonsilver(2297)
      (Show Source): 
You can put this solution on YOUR website! well. This all depends what you know :-) 
 I would suggest Cramer's Rule, using determinants:
 
 D, determinant of the main matrix = 20
 Dx, determinant of main matrix with x-values substituted = -52
 Dy, determinant of main matrix with y-values substituted = 12
 Dz, determinant of main matrix with z-values substituted = 50
 
 so x=Dx/D = -2.6
 
 so y=Dy/D = 0.6
 
 so z=Dz/D = 2.5
 
 Put these values into the 3 equations and you get the correct answers.
 
 Now, how do you calcualte the determinants? Ask me if this is your course. If you have no idea what i am gibbering on about, then ask again to have another solution method.
 
 jon.
 
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