Question

How do you write `x-4=0` in standard form?

Answer 1

`color(red)(1)x + color(blue)(0)y = color(green)(4)`

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

To convert this to standard form we must first add `color(red)(4)` to each side of the equation:

`x - 4 + color(red)(4) = 0 + color(red)(4)`

`x - 0 = 4`

`x = 4`

`color(red)(1)x + color(blue)(0)y = color(green)(4)`