Question

How do you write `y=2x-3` in standard form?

Answer 1

See a solution process below:

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 solve the equation in the problem for the Standard Linear Form as:

`y = 2x - 3`

`y - color(red)y) + color(blue)(3) = 2x - color(red)y) - 3 + color(blue)(3)`

`0 + 3 = 2x - y - 0`

`3 = 2x - y`

`2x - y = 3`

`color(red)(2)x - color(blue)(1)y = color(green)(3)`