Answer
All equations are true, so the solution is correct.
Work Step by Step
In order to verify that the given point is a solution, we substitute the values of all 3 variables into both equations to ensure that they produce a true result:
$$ 4(2)-1 =7 \\ 7=7$$
For equation two:
$$8(2) + 5(-3)-1=0 \\0=0$$
For equation three:
$$-2-(-3)+5(1)=6 \\6=6$$
All equations are true, so the solution is correct.