Find a point at which origin is shifted such that transformed equation of `x^(2)+xy-3x-y+2=0` has no first degree term and constant term. Also find the transformed equation.

Explanation

To solve the problem of finding a point at which the origin is shifted such that the transformed equation of \(x^2 + xy - 3x - y + 2 = 0\) has no first-degree term and constant term, we can follow these steps:

### Step 1: Define the Shifted Origin
Let’s denote the new origin as \((h, k)\). The transformations for \(x\) and \(y\) will be:
\[ x = X + h \quad \text{and} \quad y = Y + k \]
where \(X\) and \(Y\) are the coordinates in the new system.
...