For a system of two linear equations in the standard form $\left\{\begin{array}{l}a_1x+b_1y=k_1\\a_2x+b_2y=k_2\end{array}\right.$, Cramer's Rule states that the solution $(x, y)$ can be calculated using determinants: $x = \frac{D_x}{D}$ and $y = \frac{D_y}{D}$. To use this method, you must first evaluate three specific determinants. The determinant $D$ is formed using only the coefficients of the variables: $D = \begin{vmatrix} a_1 & b_1 \\ a_2 & b_2 \end{vmatrix}$. The determinant $D_x$ is formed by substituting the constants $k_1$ and $k_2$ in place of the $x$ coefficients: $D_x = \begin{vmatrix} k_1 & b_1 \\ k_2 & b_2 \end{vmatrix}$. Similarly, the determinant $D_y$ is formed by substituting the constants in place of the $y$ coefficients: $D_y = \begin{vmatrix} a_1 & k_1 \\ a_2 & k_2 \end{vmatrix}$.