The system of linear equations

$\begin{array}{l}\lambda x+2y+2z=5\\ 2\lambda x+3y+5z=8\mid \\ 4x+\lambda y+6z=10\text{ has }\end{array}$

• A

  $\text{ infinitely many solutions when }\lambda =2$

• B

  $\text{ no solution when }\lambda =2$

• C

  $\text{ a unique solution when }\lambda =-8$

• D

  $\text{ no solution when }\lambda =8$