algebra question

Question

Suppose you add two linear equations that form a system, and you get the result y = −2. How many solutions does the system have?

Answer 1

Infinitely many, as x can inhabit any value.

Answer 2

If in adding the two equations you have one of the variables disappearing and the remaining variable has a fixed value, then the system will have one solution, meaning the linear equations will intersect in a single point.