Question

Given: -3x + y = 1.

Write the equation in general form Ax + By + C =0.

3x - y + 1 = 0
-3x + y - 1 = 0
3x - y = -1

Answer 1

`-3x+y=1\qquad\text{subtract 1 to both sides}\\\\\boxed{-3x+y-1=0}\qquad\text{change the signs}\\\\\boxed{3x-y+1=0}`

Answer 2

Option 2 -
`-3x + y -1=0`

Explanation:

Given : Equation
`-3x + y = 1`.

To find : Write the equation in general form
`Ax + By + C =0` ?

Solution :

To write in general form we have to re-arrange the equation,

Equation
`-3x + y = 1`.

Take constant to one side,

`-3x + y -1=0`

On comparing with
`Ax + By + C =0`,

A=-3, B=1 and C=-1

Therefore, the equation in general form is
`-3x + y -1=0`.

So, option 2 is correct.