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

A

If a = -3, then the system has infinitely many solutionsforall values of $$\lambda$$ and $$\mu$$

B

If $$a \neq -3$$, then the system has a unique solution for all values of $$\lambda$$ and $$\mu$$

C

If $$\lambda + \mu = 0$$, then the systemhasinfinitely many solutions for a = -3

D

If $$\lambda + \mu \neq 0$$, then the systemhasinfinitely many solutions for a = -3