Answer:
O'(-2,-2) and U'(0,0).
Step-by-step explanation:
ΔTOY has coordinates T (−3, 4), O (−4, 1), and Y (−2, 3).
It is given that a translation maps point T to T' (−1, 1).
The x-coordinate increased by 2 and y-coordinate decreased by 3. So, the rule of translation is

The coordinates of O' and Y' under this translation.


Therefore, the coordinates of O' and Y' under this translation are O'(-2,-2) and U'(0,0).
When ur variables cancel and ur left with a true statement...equal statements, such as 0 = 0 or 6 = 6, then u will have infinite solutions. So the answer to this is infinite solutions.
** now if u were left with 0 = 3 or 2 = -2....then there would be no solutions.
if u ended up with x = 7 or y = 5....a variable equal to a number, then there is 1 solution
I don't know what were the statements given, but the answer is on the bottom of the pic ☺️