The intercepts cut off by the planes 2x+y-z=5 are

Given \(2x+y-z=5\)

$\Rightarrow \frac{2x}{5} + \frac{y}{5} - \frac{z}{5} = 1$

$ \Rightarrow \frac{x}{5/2} + \frac{y}{5} - \frac{z}{5} = 1$

Compare this equation with standard form

$\frac{x}{a} + \frac{y}{b} + \frac{z}{c} = 1$

$ \Rightarrow a = \frac{5}{2} , b = 5 , c = -5$