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
To rearrange the terms of the equations into the standard form Ax + By = C, you need to isolate the x and y terms on one side of the equation, and move the constant term to the other side.
Let's start with the first equation: x + 3y = -1.
To isolate the x term, you need to move the 3y to the other side of the equation. You can do this by subtracting 3y from both sides:
x + 3y - 3y = -1 - 3y
This simplifies to:
x = -1 - 3y
Now let's move on to the second equation: 2x + 4y - 12 = 0.
Again, you want to isolate the x term. Start by moving the constant term (-12) to the other side of the equation by adding 12 to both sides:
2x + 4y - 12 + 12 = 0 + 12
Simplifying this gives:
2x + 4y = 12
Now you have both equations in the form Ax + By = C:
First equation: x = -1 - 3y
Second equation: 2x + 4y = 12
If you need to eliminate the fractions, you can multiply both sides of each equation by a common denominator. But for now, these equations are in standard form.