To convert the equation 3x + y = 1 into general form, we want to rearrange it so that it matches the structure Ax + By + C = 0.
Starting with the original equation:
3x + y = 1
We need to move everything to one side of the equation. We can do this by subtracting 1 from both sides:
3x + y - 1 = 0
Now, this resembles the general form Ax + By + C = 0, where:
- A = 3
- B = 1
- C = -1
Thus, the general form of the equation is:
3x + y - 1 = 0
This represents the same line in a different format, emphasizing the standard structure used in many mathematical contexts.