Question

Given the linear equation 2x+y=6, perform the necessary operations to put the equation into the proper general form. Include the entire process for establishing the general form of the equation and the general form.
NEEDS TO BE GENERAL FORM AKA AX+BY+C=0

Answer 1

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.