Question

Use Cramer’s rule to solve the following system.

x-y+2z=3
2x+3y+z=9
-x-y+3z=11

Answer 1

Find Dx and Dy and Dz

Answer 2

3 -1 2
9 3 1
11 -1 3
Find determinant of this matrix that is your Dx

Answer 3

any question?

Answer 4

Dx/D is x
Likewise for y,z

Answer 5

Do you want me go through the problem?

Answer 6

Yes please

Answer 7

Okay

Answer 8

3 -1 2
9 3 1
11 -1 3

Let's Find the Determinant of this matrix, Dx

Answer 9

Do you know how to find determinant?

Answer 10

yes

Answer 11

is the determinant -38

Answer 12

Yes

Answer 13

Now Find Dy

Answer 14

57

Answer 15

Dz

Answer 16

76

Answer 17

then find determinant of D
1 1 2
2 3 1
1 1 3

Answer 18

x= Dx/D
y= Dy/D
z=Dz/D

Answer 19

wouldn't it be 1 -1 2
2 3 1
1 1 3
because the first system is x-y+2z=3

Answer 20

Yes, I missed -,sry

Answer 21

solution set is x=-38,y=57,z=76