Find what the following equations become when the origin is shifted to the point (1,1): `x y-y^2-x+y=0`

Explanation

To solve the problem of finding what the equation \( xy - y^2 - x + y = 0 \) becomes when the origin is shifted to the point \( (1, 1) \), we will follow these steps:

### Step 1: Shift the Origin
When we shift the origin from \( (0, 0) \) to \( (1, 1) \), we need to express the new coordinates in terms of the old coordinates. Let:
- \( x' = x - 1 \)
- \( y' = y - 1 \)

Where \( (x', y') \) are the new coordinates after shifting the origin.
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