Consider the following system: $$x_1+ 3x_2=6$$ $$-5x_1+kx_2=…

Consider the following system: $$x_1+ 3x_2=6$$ $$-5x_1+kx_2= h$$   a) Determine $h$ and $k$ such that the system above has no solution.   b) Determine $h$ and $k$ such that the solution set of the system contains a unique solution   c) Determine $h$ and $k$ such that the solution set of the system contains many solutions.