Express the following equations in matrix form and solve them by the method of reduction :
`x+y+z=6,3x-y+3z=6and5x+5y-4z=3`.

Explanation

To solve the given equations using the method of reduction, we will first express the equations in matrix form and then perform row operations to find the values of \(x\), \(y\), and \(z\).

### Step 1: Write the equations in standard form
The given equations are:
1. \(x + y + z = 6\) (Equation 1)
2. \(3x - y + 3z = 6\) (Equation 2)
3. \(5x + 5y - 4z = 3\) (Equation 3)

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