Final answer:
To put the equation x = 3y - 2 in standard form, you need to rearrange the terms so that the x and y variables are on the same side and the constant term is on the other side. The standard form of the equation is 3y - x = 2.
Step-by-step explanation:
The given equation is a linear equation in standard form. To put it in standard form, we need to rearrange the terms so that the x and y variables are on the same side of the equation and the constant term is on the other side. Here is the step-by-step process:
- Subtract 3y from both sides of the equation: x - 3y = -2
- Rearrange the terms to match the standard form: -3y + x = -2
- Make sure that the coefficient of x is positive, so multiply the entire equation by -1: 3y - x = 2
Therefore, the equation x = 3y - 2 can be rewritten in standard form as 3y - x = 2.