Short answer: it’s C
Step-by-step explanation:
Solving by addition means adding the first equation to the second one in an attempt to make variables cancel. If all variables cancel, it is either all real numbers, or no solution. If 0=2 then it is no solution because no matter what you plug in for x or y, 0 still can never equal 2. The “solution” to C is 0=2, and you can plug in points to prove that (0,2) isn’t a solution