The sum of two numbers is 12.if three times the larger is added to twice the smaller the result is 33. find the answer

So for this you start by figuring out all the numbers that add up to equal 12.
(0,12)(1,11)(2,10)(3,9)(4,8)(5,7)(6,6)
Then you put them into the equation 3l+2s=33 l=the larger number and s=the smaller number
To save space I'm only going to do the numbers that are the answers.
(3,9) 3(9)+2(3)=33
27+6=33
33=33
TADA

Where’s the graph too show me?

How many groups are there?