Question

The system 3x+y=12 has a solution of (2,6). write a system with the same solution.

Answer 1

In theory you could multiply that equation by any number and it would work for example:
If you multiple by (1/3) you get:
x + (1/3)y = 4

But if you want to be more creative you could say
4x-3y=-10

So really, just set up any equation and find what it would equal with the given solution.