How do you convert the equation represented by 3x + y = 1 into its general form ax + by + c = 0?

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To convert the equation 3x + y = 1 into the general form ax + by + c = 0, you need to rearrange the equation to fit this format.

Here are the steps to achieve this:

  1. Start with the original equation: 3x + y = 1.
  2. Subtract 1 from both sides of the equation to move it to the left side: 3x + y – 1 = 0.
  3. This can be rewritten as: 3x + 1y – 1 = 0.

Now, in this equation:

  • a = 3
  • b = 1
  • c = -1

Thus, the equation in general form is:

3x + 1y – 1 = 0

This represents the general form of the equation as required. It is important to note that in the general form, the values of a, b, and c can be integers, and both a and b should not be zero to ensure the equation remains valid.

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