3x + y = 3

x + y = 2
Solve the systems of equations.
Options: x=1/2 y=3
x=3 y=1/2
x=1/2 y=3/2
x=3/2 y=1/2

Unless you'd like to solve the problem using substitution, which is not hard to do, you could substitute the given answers into the given equations.

From the second equation, x+y=2, we can eliminate the first and the second answer, since the proposed values of x and y add up to more than 2.
Between the answers 3 and 4, it is obvious that the fourth choice does not satisfy the first equation. So the answer is #3.