# How do you write -9 + 8x = 10y in standard form?

Jul 31, 2017

See a solution process below:

#### Explanation:

The standard form of a linear equation is: $\textcolor{red}{A} x + \textcolor{b l u e}{B} y = \textcolor{g r e e n}{C}$

Where, if at all possible, $\textcolor{red}{A}$, $\textcolor{b l u e}{B}$, and $\textcolor{g r e e n}{C}$are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

First, add $\textcolor{red}{9}$ 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:

$\textcolor{red}{9} - 9 + 8 x = \textcolor{red}{9} + 10 y$

$0 + 8 x = 9 + 10 y$

$8 x = 9 + 10 y$

Now, subtract $\textcolor{red}{10 y}$ from each side of the equation to put the equation in Standard Linear form while keeping the equation balanced:

$8 x - \textcolor{red}{10 y} = 9 + 10 y - \textcolor{red}{10 y}$

$8 x - 10 y = 9 + 0$

$\textcolor{red}{8} x - \textcolor{b l u e}{10} y = \textcolor{g r e e n}{9}$