Question 252724
To use Cramers rule you need matricies.
step #1 rewrite all equation so that variables are on one side and in order.
5x - 6y - 7Z = 7
6x - 4y + 10z = -34
2x + 4y -3Z = 29.
--
step #2 - We need to find four determinants: 
(1) the determinant of the left side, D.
D = -592 
(2) the determinant of x, Dx, when you replace the x column with the answer column
Dx = -1184
(3) the determinant of y, Dy, when you replace the y column with the answer column
Dy = -2368
(4) the determinant of z, Dz, when you replace the z column with the answer column
Dz = 1776
--
step #3 use fractions to find the answer:
(1) Dx / D = x answer ; x = 2
(2) Dy / D = y answer ; y = 4
(3) Dz / D = z answer ; z = -3 

I don't know an easier way to explain this. Hope this makes sense.