Let's evaluate every pair:
(2,-3):
[tex]3(2)-2(-3)=6+6=12=12[/tex](2,-3) represent a solution
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(4,0):
[tex]3(4)-2(0)=12-0=12=12[/tex](4,0) represent a solution
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(5,-1):
[tex]3(5)-2(-1)=15+2=17\ne12[/tex](5,-1) Don't represent a solution
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(0,-6):
[tex]3(0)-2(-6)=0+12=12=12[/tex](0,-6) Represent a solution
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(2,3):
[tex]3(2)-2(3)=6-6=0\ne12[/tex](2,3) Don't represent a solution