# How do you write  -8y= 20+2/5x in standard form?

Sep 9, 2015

$2 x + 40 y = - 100$

#### Explanation:

"Standard form" for a linear equation is
$\textcolor{w h i t e}{\text{XXX}} A x + B y = C$
$\textcolor{w h i t e}{\text{XXXXXX}}$ where $A , B , C \in \mathbb{Z} , A \ge 0$

$- 8 y = 20 + \frac{2}{5} x$

$\rightarrow - 40 y = 100 + 2 x$

$\rightarrow 0 = 100 + 2 x + 40 y$

$\rightarrow - 100 = 2 x + 40 y$

$\rightarrow 2 x + 40 y = - 100 \textcolor{w h i t e}{\text{XXXXXX}}$which is in "standard form"