Solve for the variable x in the system of equations:
$\begin{array}{l} 4 x + z = 4 \\ x - y + 4 z = - 11 \\ - 3 x + y - 5 z = 11 \end{array}$

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The solution for the variable x in the system of equations is $2$

Steps

Step 1 ：We are given the system of equations: $\begin{array}{l} 4 x + z = 4 x - y + 4 z = - 11 - 3 x + y - 5 z = 11 \end{array}$

Step 2 ：We can represent this system in matrix form as follows: $A = [\begin{matrix} 4 & 0 & 1 1 & - 1 & 4 - 3 & 1 & - 5 \end{matrix}]$ and $b = [\begin{matrix} 4 - 11 11 \end{matrix}]$

Step 3 ：We solve the system of equations by finding the inverse of matrix A and multiplying it with matrix b. This gives us the values of x, y, and z.

Step 4 ：The solution for the variable x in the system of equations is $2$

Solve for the variable x in the system of equations: 4x+z=4x−y+4z=−11−3x+y−5z=11

Answer

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Solve for the variable x in the system of equations:
$\begin{array}{l} 4 x + z = 4 \\ x - y + 4 z = - 11 \\ - 3 x + y - 5 z = 11 \end{array}$