How can 1/3 x - 2 = y and 1/4x + 11 = y be set up as a system of equations?

Well, we know they both equal y, so we can say 1/3*x - 2 = 1/4x + 11

That, is technically a system of equations, unless you're looking for a fancy way for it to be input into a calculator?

You can solve for x this way too, by moving all x values onto one side, and all constants onto the other.

To solve this in a different way, you can also say:

3y - x = - 6

4y - x = 44

Because

1/3x - 2 = y can be rearranged as y - 1/3x = - 2, which can be multiplied out to be

3y - x = - 6

The same goes for 1/4x + 11 = y, wherein it can be rearranged to y - 1/4x = 11, and multiplied out to be 4y - x = 44

Since the y is already isolated just combine them ... i think