Question

How do you write y=2x in standard form?

Answer 1

`color(red)(2)x - color(blue)(1)y = color(green)(0)`

Explanation:

The standard form of a linear equation is: `color(red)(A)x + color(blue)(B)y = color(green)(C)`

where, if at all possible, `color(red)(A)`, `color(blue)(B)`, and `color(green)(C)`are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

We can transform the equation in the problem to standard form as follows:

`-color(red)(2x) + y = -color(red)(2x) + 2x`

`-2x + y = 0`

`color(red)(-1)(-2x + y) = color(red)(-1) xx 0`

`2x - y = 0`

`color(red)(2)x - color(blue)(1)y = color(green)(0)`