Determine whether $(1,2)$ is a solution of the system: \[ \begin{aligned} -2 x-3 y & =3 \\ 3 x-5 y & =-10 \end{aligned} \] Is $(1,2)$ a solution of the system? Choose the correct answer below. Yes No

Step 1 ：To determine if \((1,2)\) is a solution to the system of equations, we need to substitute \(x=1\) and \(y=2\) into both equations and check if both equations are satisfied.

Step 2 ：Substitute \(x=1\) and \(y=2\) into the first equation, we get \(-2(1)-3(2) = -8\).

Step 3 ：Substitute \(x=1\) and \(y=2\) into the second equation, we get \(3(1)-5(2) = -7\).

Step 4 ：The result of substituting \(x=1\) and \(y=2\) into both equations does not satisfy the equations.

Step 5 ：\(\boxed{\text{No, (1,2) is not a solution of the system.}}\)