Question

You are given the line g with its equation g: 2x - 3y - 6 = 0

Write the equation of the line in the form of Ax + By = 1

I though I just have to turn it into 2x - 3 = 6, but wouldn't that be Ax + By = C and not Ax + By = 1?​

Answer 1

`x=(3)/(2)y + 3`

Explanation:

Let's solve for x.

2x−3y−6=0

Step 1: Add 3y to both sides.

2x−3y−6+3y=0+3y

2x−6=3y

Step 2: Add 6 to both sides.

2x−6+6=3y+6

2x=3y+6

Step 3: Divide both sides by 2.

2x

2

=

3y+6

2

x=

3

2

y+3