# How do you write the equation in standard given y − 3 = (x + 6) ?

May 16, 2016

$x - y = - 9$
or (explicitly)
$1 x - 1 y = - 9$

#### Explanation:

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

Given $y - 3 = x + 6$

$\Rightarrow - 3 = x - y + 6$

$\Rightarrow - 9 = x - y$

$\Rightarrow x - y = - 9$