Answer
See solution
Work Step by Step
Suppose we are given a system of $n\times n$ linear equations. Cramer's rule is a method of solving linear systems using the matrix of coefficients.
First of all we calculate the determinant of $A$. If $det A\not=0$, then we can find the solutions of the system using determinants.
We build $n$ determinants $D_1,D_2,\dots,D_n$. For each determinant $D_k$ we start from matrix $A$ in which we replace column $k$ by the column of constants.
Once the determinants are built, we calculate the solutions of the system:
$$x_k=\dfrac{det D_k}{det A}, \text{ where }k=1,2,\dots,n.$$
