I need help for each ordered pair it is a study guide it gives the answer but I want to know the step by step not just the answer

Given the functions
- For (-3, -12)
[tex]\begin{gathered} 2(-3)-3(-12)=-8 \\ -6+36=-8 \\ 30\ne-8 \end{gathered}[/tex]It is not a solution
Answer: No
- For (-1,2)
[tex]\begin{gathered} 2(-1)-3(2)=-8 \\ -2-6=-8 \\ -8=-8 \\ \text{and} \\ 2=7(-1)+9 \\ 2=-7+9 \\ 2=2 \end{gathered}[/tex]It is a solution
Answer: Yes
- For (2,0)
[tex]\begin{gathered} 2(2)-3(0)=-8 \\ 4\ne-8 \end{gathered}[/tex]It is not a solution
Answer: No
- For (5,6)
[tex]\begin{gathered} 2(5)-3(6)=-8 \\ 10-18=-8 \\ -8=-8 \\ \text{and} \\ 6=7(5)+9 \\ 6=35+9 \\ 6\ne44 \end{gathered}[/tex]It is not a solution
Answer: No