# Find integer solutions

#### ducnhuandoan

Find integer solutions of system:
x + y = z
arctan x = arctan y + arctan z

#### DarnItJimImAnEngineer

Solutions at $y=0$, $x \in \mathbb{Z}$.

#### skipjack

Forum Staff
As a follow-up question, find the integer solutions of the system
$x + y = z$,
$3 \arctan x = \arctan y + \arctan z$.

#### idontknow

$$\displaystyle \begin{cases}x+y=z \\ x=\dfrac{y+z}{1-yz} \end{cases}$$.

#### ducnhuandoan

A hint to the staff and everyone. Find an only integer solution of system:
x + y = z
arctan x = arctan y + arctan z

Forum Staff