How many solutions does this system have? x-2y=2 y=-2+5
a. infinitely many solutions
b. no solutions
c. two solutions
d. one solution

The system has one solution, x = 8, y = 3

In an equation system you'll have:

- System with more questions than equations: infinite solutions
- System with the same number of questions as equations: only one solution with as many answers as questions
- System with two or more independent and contradictory equations: zero solutions.

In this case you have two independent equations and two questions (x and y), so the answer is d, one solution.