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We are asked to solve the given system of simultaneous equations using Cramer’s Rule manually. The equations are: 1. $x + 2y + z = 3$ 2. $2x - y + 2z = 1$ 3. $3x + y + z = 0$ *(I assume the third equation is $3x + y + z = 0$, since the image is incomplete)* --- ### Step 1: Write in matrix form $$ \begin{aligned} \begin{bmatrix} 1 & 2 & 1 \\ 2 & -1 & 2 \\ 3 & 1 & 1 \end{bmatrix} \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} 3 \\ 1 \\ 0 \end{bmatrix} $$ Let $A$ be the coefficient matrix and $\Delta = \det(A)$. $$ A = \begin{bmatrix} 1 & __________ ____ ________ ________ ______ ______.
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