Given:
The equations are 2x-y = 0 and x+y = 3.
The objective is to find the system determinant.
Considering the given equations as,
![\begin{gathered} ax-by=s \\ cx+dy=t \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/3q683bc9g2qahe4rfigtnq3kcwnr4jyosv.png)
The system determinant can be obtained as,
Now, substitute the given values of a, b, c and d in the above formula and solve it.
Thus, the system determinant is 3.
Hence, option (A) is the correct answer.