The general form of the given equation is 2x+y-6 = 0.
Step-by-step explanation:
- The given linear equation is 2x+y=6.
- The general form of the equation is AX+BY+C=0.
where,
- A is the co-efficient of x.
- B is the co-efficient of y.
- C is the constant term.
From the given equation 2x+y=6, it can be determined that :
The co-efficient of x is 2. It is in the form AX = 2x. Thus, no change is needed.
The co-efficient of y is 2. It is in the form BY = 1y. Thus, no change is needed.
The constant term 6 should be replaced to the left side of the equation, since the right side of the equation must be 0 always.
While moving the constant term form one side of the equation to other side, the sign changes from +ve to -ve.
Therefore, the general form is given as 2x+y-6 = 0.
