Write two equations so that each have variables on both sidez and a solution of 1/2

I'll start "from the end".

Here is the solution:

x=

let's multiply both sides by 6 (for no reason! just because we can!)

6x=3

we can now add "4x" to both sides (rememebr, you can do anything to an equasion as long as it doesnt changes something fundamental (so don't divide by variables)

6x+4x=3+4x

10x=3+4x

and he's a solution (one of many)