question_answer

If the system of equations \[px+2y-3=0,\]\[x+3y-4=0\] and \[p{{x}^{2}}+3{{y}^{2}}+3xy+(q-3)x-3y-1=0\left( p\ne \frac{2}{3} \right)\] has a unique solution, then the value of \[(p+q)\] is ______.                                              

Answer:

1