Question

Multiple response/select all
Which equation(s) need to be written in this linear system before we can write it in augmented matrix form?
5y - 3x =0
6x + 8y =1
y= 3x + 8
3x - 4y =2
1st equation
2nd equation
3rd equation
4th equation

Answer 1

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