Find the sum of the intercepts cut off by the plane `2x+y-z=5` , on the coordinate axes.

Explanation

To find the sum of the intercepts cut off by the plane \(2x + y - z = 5\) on the coordinate axes, we will determine the x-intercept, y-intercept, and z-intercept of the plane.

### Step 1: Find the x-intercept
To find the x-intercept, we set \(y = 0\) and \(z = 0\) in the equation of the plane.

\[ 2x + 0 - 0 = 5 \implies 2x = 5 \implies x = \frac{5}{2} \]
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