Question

7x-y+z=-8
3x+2y-3z=19
x-3y+2z=-21

Answer 1

?

Answer 2

is a system of equations problem

Answer 3

Are you working on Gaussian elimination?

Answer 4

You could solve using a matrix?

Answer 5

There is Cramer's rule, but not too many people use it for 3x3 unless we have a sparse system.

Answer 6

i tried the matrix but its giving me the correct answer, its always in fraction form and i need a solution set

Answer 7

i used the cramers rule too.. its just franctions

Answer 8

The solution set contains only integers.

Answer 9

What did you get for the determinants?

Answer 10

56/19,-47/19,-146/19

Answer 11

I get 37 for Delta (the denominator)
Can you check if you had typo?

Answer 12

I have for Delta
[7,-1,1]
[3,2,-3]
[1,-3,2]
and the determinant is 37.
Would you like to post yours?

Answer 13

i must have because i didnt get any of those numbers

Answer 14

To get the denominator, the matrix is a transcription of the coefficient of the LHS of the system of equations.

Answer 15

and the matrices D1,D2 D3 are successively the replacement of the first, second and third column by the vector on the RHS.

Answer 16

The solution set is then
{D1/D, D2/D, D3/D}
where D, D1,D2,D3 are the determinants of the matrices.