Applying KVL to the Base - Emitter Loop

$V_C-I_BR_B-V_{BE}=0$

where, $I_B=\dfrac{I_C}\beta$

$V_C-\dfrac{I_C}\beta R_B-V_{BE}=0$

$V_C-V_{BE}=\dfrac{I_C}\beta R_B$

$R_B=\dfrac{V_C-V_{BE}}{\dfrac{I_C}\beta}$

$R_B=\dfrac{(V_C-V_{BE})\times\beta}{I_C}$

$R_B=\dfrac{(10-0.7)\times100}{2\times10^{-3}}$

$\therefore \underline{\underline{R_B=465\ K\Omega}}$

Applying KVL to the Collector - Emitter Loop

$V_C-I_CR_C-V_{CE}=0$

$V_C-V_{CE}=I_CR_C$

$R_C=\dfrac{V_C-V_{CE}}{I_C}$

$R_C=\dfrac{10-5}{2\times10^{-3}}$

$\therefore \underline{\underline{R_C=2.5\ K\Omega}}$