Answer
See below.
Work Step by Step
Plugging in the values into the equations:
$2+(-3)-2(1)=2-3-2=-3$
$3(2)-(-3)-7(1)=6+9-7=2$
$2+(-3)+1=2-3+1=0$
$2(2)+2(-3)-4(1)=4-6-4=-6$
All of the equations are satisfied, thus it is in fact a good solution.