Answer:
Using Cramer's rule, the system of equations has solutions at x=3, y=4 and z=-5
Step-by-step explanation:
The other solution is by Gaussian elimination. Here is a different way to solve by using matrix and determinants.
Cramer's rule states that for 3x3 equations, the solutions are given by
x = Dx/D, y=Dy/D and z=Dz/D
where D is determinant of the coefficient matrix; Dx, Dy and Dz are determinants of x-, y- and z-matrix respectively.
|-3 2 1 |
D=| 1 3 2 | = -1
| 4 4 3 |
similarly Dx = -3, Dy = -4 and Dz = 5
solving
x = Dx/D = -3/-1 = 3
y = Dy/D = -4/-1 = 4
z = Dz/D = 5/-1 = -5
