To rewrite the equation 2x + y = 6 in the standard form of ax + by + c = 0, we need to rearrange the equation so that one side equals zero.
Here are the steps to achieve that:
- Start with the original equation: 2x + y = 6.
- Subtract 6 from both sides of the equation to move the constant term to the left side: 2x + y – 6 = 0.
- This gives us our equation in the desired form: 2x + y – 6 = 0.
Now we can identify the coefficients:
- a = 2
- b = 1
- c = -6
So, the final answer in general form is:
2x + 1y – 6 = 0
This representation clearly shows the equation in the standard format, making it easier to analyze and solve.