what is solution to the following system

-3x-2y=-12

9x+6y=-9

\(\text{Determinante }~D=\begin{vmatrix} -3 && -2 \\ 9 && 6 \end{vmatrix} =(-3)\cdot 6 - 9\cdot (-2)= -18+18 = 0\\ D = 0 \qquad \Rightarrow \qquad \text{ no solution }\)

-3x-2y=-12    divide everything by 2  →  ( -3/2 )x - y = -6
9x+6y=-9      divide everything by  6  →  (3/2)x + y = -3/2

Add these equations together

0 + 0 = -6 - 3/2

0 = - 15/2    

This is never true.....so.....this system has no solution, Paypay