Answer
$\left(-2,0\right),\left(7,6\right)$.
Work Step by Step
The exercise allows any methods.
Use graphing method, see graphs of $2y^2-3xy+6y+2x+4=0$ and $2x-3y+4=0$. We can identify the intersect(s) $\left(-2,0\right),\left(7,6\right)$.
Alternatively, one can isolate $x$ from the 2nd equation, plugin the 1st, then solve for $y$ first.