X + 2y = 10 . . . (1)
6y = -3x + 30 . . . (2)
From (2), 3x + 6y = 30
3(x + 2y = 10)
3 x (1)
Since, the second equation is a multiple of the first equation, the system will have an infinitely number of solutions.
The next three terms are: -3, 6, and 15
To get each new term, we simply add 9 to the last term. So we add 9 to -12 to get -3. Then we add 9 to -3 to get 6. Finally we add 9 to 6 to get 15
In other words,
first term = -12
second term = first term+9 = -12+9 = -3
third term = second term + 9 = -3+9 = 6
fourth term = third term + 9 = 6+9 = 15
This process repeats forever though we only need three terms in this case.
So that's why the answer is the three values -3, 6 and 15
Me toooo! if anyone in these comments could answer my question, that'd be awesome!