Find the transformed equation of the straight line 2x – 3y + 5 + 0 when the origin is shifted to the point (3, –1) after translation of axes.

Let coordinates of point P change when origin shifts to new coordinates h = 3, k = -1.

Transformation formulas:

x = x' + 3   ⇒   x' = x - 3

y = y' - 1   ⇒   y' = y + 1

Substituting into the given line equation:

2(x' + 3) - 3(y' - 1) + 5 = 0

⇒ 2x' - 3y' + 14 = 0

Therefore, the equation of the straight line in the new coordinate system is:

2x - 3y + 14 = 0