Final answer:
The system of equations provided is incomplete for applying Cramer's Rule, as it only contains two equations but three variables. The missing third equation is required to calculate determinants and solve using Cramer's Rule. Option number d is correct.
Step-by-step explanation:
To solve the system of equations using Cramer's Rule, we first need to set up the coefficient matrix and the determinant for the system.
The system of equations given is:
- 3x - y - z = 13
- 3x - 2y + 3z = 16
We're missing the third equation to have a complete system for three variables. Let's assume there is a typo, and we have a third equation. The determinant of the coefficient matrix (D) would be calculated. Then, we find the determinants of the matrices formed by replacing each column by the constants from the right-hand side (Dx for x, Dy for y, and Dz for z).
The solution for each variable is given by:
- x = Dx / D
- y = Dy / D
- z = Dz / D
Since we can't proceed without the third equation, we cannot compute the values of x, y, and z using Cramer's Rule. We would need to request the missing equation or correct the system before we could apply Cramer's Rule to solve it.