anonymous
  • anonymous
Use Cramer’s rule to solve the following system. x-y+2z=3 2x+3y+z=9 -x-y+3z=11
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Find Dx and Dy and Dz
anonymous
  • anonymous
3 -1 2 9 3 1 11 -1 3 Find determinant of this matrix that is your Dx
anonymous
  • anonymous
any question?

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anonymous
  • anonymous
Dx/D is x Likewise for y,z
anonymous
  • anonymous
Do you want me go through the problem?
anonymous
  • anonymous
Yes please
anonymous
  • anonymous
Okay
anonymous
  • anonymous
3 -1 2 9 3 1 11 -1 3 Let's Find the Determinant of this matrix, Dx
anonymous
  • anonymous
Do you know how to find determinant?
anonymous
  • anonymous
yes
anonymous
  • anonymous
is the determinant -38
anonymous
  • anonymous
Yes
anonymous
  • anonymous
Now Find Dy
anonymous
  • anonymous
57
anonymous
  • anonymous
Dz
anonymous
  • anonymous
76
anonymous
  • anonymous
then find determinant of D 1 1 2 2 3 1 1 1 3
anonymous
  • anonymous
x= Dx/D y= Dy/D z=Dz/D
anonymous
  • anonymous
wouldn't it be 1 -1 2 2 3 1 1 1 3 because the first system is x-y+2z=3
anonymous
  • anonymous
Yes, I missed -,sry
anonymous
  • anonymous
solution set is x=-38,y=57,z=76

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