We can solve this type of Multiple Choice Question (MCQ) problem by checking each given option . The option which satisfies the condition of given problem is the required solution. This process is called Hit and Trial method or Inception method.
Let's solve this problem.
Given equation:- y=2x-5
Checking option (A) i.e (2,1)(putting the value of x and y in given equation)
1=2*2–5=-1( doesn't satisfy the condition )
Checking option (B) i.e (5,-5)
-5=2*5–5=5(doesn't satisfy the condition)
Checking option (C) i.e (1,-3)
-3=2*1–5=-3(satisfies the condition)
Since option C satisfies the condition it is the required solution.
By the same way you can check option D which is also false.
YOUR ANSWER IS C