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

Feb 7, 2017

$\textcolor{red}{2} x - \textcolor{b l u e}{1} y = \textcolor{g r e e n}{0}$

#### 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

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

$- \textcolor{red}{2 x} + y = - \textcolor{red}{2 x} + 2 x$

$- 2 x + y = 0$

$\textcolor{red}{- 1} \left(- 2 x + y\right) = \textcolor{red}{- 1} \times 0$

$2 x - y = 0$

$\textcolor{red}{2} x - \textcolor{b l u e}{1} y = \textcolor{g r e e n}{0}$