Answer:
(-3/2, -5/2)
Explanation:
When a point is dilated about the origin, each coordinate value is multiplied by the dilation factor. You seem to have ...
... -2x = 3 ⇒ x = -3/2
... -2y = 5 ⇒ y = -5/2
_____
In each case, you solve the linear equation by dividing by the coefficient of the variable.