Answer
Both equations are true, so the solution is correct.
Work Step by Step
In order to verify that they are both solutions, we substitute the values of both variables into both equations to ensure that they produce a true result:
$$ 2(-.5) + .5(2) =0 \\0=0$$
For equation two:
$$3(-.5) -4 (2) = -\frac{19}{2} \\-1.5-8 = -\frac{19}{2} \\ -\frac{19}{2} = -\frac{19}{2}$$
Both equations are true, so the solution is correct.