Rearrange the terms of the equations fo form Ax + By = C
I really get confused about general form, like how do I do it, I don't understand at all.
x+3y = -1
2x+4y-12 = 0
Ax + By = C
x + 3y = 1 is in this form already
2x + 4y - 12 = 0
2x + 4y = 12
To rearrange the given equations into the form Ax + By = C, we need to isolate the variables on one side of the equation and move the constant term to the other side. Here's how you can do it for each equation:
1. x + 3y = -1:
- Subtract x from both sides: 3y = -x - 1
- Divide the entire equation by 3: y = (-1/3)x - 1/3
- Now we can rewrite it in the desired form: (-1/3)x + y = -1/3
2. 2x + 4y - 12 = 0:
- Add 12 to both sides: 2x + 4y = 12
- Divide the entire equation by 2: x + 2y = 6
- Now we can rewrite it in the desired form: x + 2y = 6
So, the rearranged equations in the form Ax + By = C are:
1. (-1/3)x + y = -1/3
2. x + 2y = 6