Question

How do you write `-9 + 8x = 10y` 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

First, add `color(red)(9)` to each side of the equation to move the constant to the right side of the equation as required by the formula while keeping the equation balanced:

`color(red)(9) - 9 + 8x = color(red)(9) + 10y`

`0 + 8x = 9 + 10y`

`8x = 9 + 10y`

Now, subtract `color(red)(10y)` from each side of the equation to put the equation in Standard Linear form while keeping the equation balanced:

`8x - color(red)(10y) = 9 + 10y - color(red)(10y)`

`8x - 10y = 9 + 0`

`color(red)(8)x - color(blue)(10)y = color(green)(9)`