what is 6y-12=-3x in standard form?
3x + 6y = 12
or even better ...
x + 2y = 4
To convert the equation 6y - 12 = -3x into standard form, we need to rearrange the terms so that the x and y variables are on the same side of the equation.
Starting with 6y - 12 = -3x, let's move the -3x term to the other side of the equation by adding 3x to both sides:
6y - 12 + 3x = 0
Now, let's rearrange the terms in the equation in ascending order:
3x + 6y - 12 = 0
So, the equation 6y - 12 = -3x in standard form is 3x + 6y - 12 = 0.
To rewrite the equation 6y - 12 = -3x in standard form, you need to rearrange the terms so that the variables (x and y) appear on the left side of the equation and the constant term appears on the right side, while maintaining the equality.
First, let's move the -3x term to the left side of the equation by adding 3x to both sides:
6y - 12 + 3x = 0
Next, let's combine the terms on the left side to simplify the equation:
3x + 6y - 12 = 0
Finally, let's rearrange the terms in ascending order of the variables (x and y) to match the standard form.
3x + 6y - 12 = 0
Therefore, the equation 6y - 12 = -3x in standard form is 3x + 6y - 12 = 0.