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To write the given linear system in augmented matrix form, all equations need to be in standard form (Ax + By = C), where A, B, and C are constants.
Let's analyze each equation:
1. **5y - 3x = 0**: This is already in standard form.
2. **6x + 8y = 1**: This is also in standard form.
3. **y = 3x + 8**: This equation is not in standard form. It can be rearranged to standard form as -3x + y = 8.
4. **3x - 4y = 2**: This is in standard form.
From this analysis, the equation(s) that need to be written in standard form before we can write the system in augmented matrix form are:
- **3rd equation (y = 3x + 8)**
Therefore, the answer is:
- 3rd equation