Hi there, I'm trying to work out this question, but not having much luck:

Solve this system of equations for all possible values of $\displaystyle a$ and $\displaystyle b$, where $\displaystyle a$ and $\displaystyle b$ are real constants.

$\displaystyle ax+y+z=1$

$\displaystyle x+by+z=1$

$\displaystyle ax+by+z=1$

The question says to be careful with special values.

Thanks for your help!