To solve the given linear system of equations, let us rewrite the problem clearly. Based on your input, the system appears to be:

1. $2x_1 + x_2 + 4x_3 = 2$
2. $-x_1 + 2x_2 - x_3 = -10$
3. $3x_1 + 3x_2 + 4x_3 = 1$

Step 1: Write in Matrix Form

The system can be written as:

2 & 1 & 4 \\ -1 & 2 & -1 \\ 3 & 3 & 4 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \\ x_3 \end{bmatrix} = \begin{bmatrix} 2 \\ -10 \\ 1 \end{bmatrix}$$ ### Step 2: Solve Using Gaussian Elimination 1. Start with the augmented matrix: $$\begin{bmatrix} 2 & 1 & 4 & | & 2 \\ -1 & 2 & -1 & | & -10 \\ 3 & 3 & 4 & | & 1 \end{bmatrix}$$ 2. Eliminate the first column below the pivot $$2$$ (row 1): - Multiply row 1 by $$\frac{1}{2}$$ for normalization. - Row 2: \( R_2 + \frac{1}{2}R_<opt|` . Processing debug clearing noise rest!