$\text{ Let }a,\lambda ,\mu \in \mathrm{ℝ}\text{ . Consider the system of linear equation }ax+2y=\lambda ,3x-2y=\mu$$\text{ Which of the following statement(s) is (are) correct? }$

$\text{ If }a=-3\text{ , then the system has infinitely many solutions for all values }\lambda \text{ and }\mu$

$\text{ If }\lambda +\mu \ne 0,\text{ then the system has no solution for }a=-3$

$\text{ If }a\ne -3,\text{ then the system has a unique solutions for all values }\lambda \text{ and }\mu$

$\text{ If }\lambda +\mu =0\text{ then the system has infinitely many solutions for }a=-3$