We want to solve
2x - y = 3
4x = 6 + 2y
The second equation, after diving through by 2, is
2x = 3 + y
or
2x - y = 3
The system of equations is
2x - y = 3 (1)
2x - y = 3 (2)
These two equations are identical, so we actually have only one equation for determining x and y.
That is,
y = 2x - 3
For any real value of x, there will be a corresponding value of y.
Therefore there an infinite number of solutions, and no unique solution exists.
Answer: There is no unique solution.