Use Your Identities!

Algebra Level 2

$\Large\begin{aligned} \color{#D61F06}{x}\color{#3D99F6}{y} &= 7 \\ \color{#D61F06}{x}+\color{#3D99F6}{y} &= 5 \\ \color{#D61F06}{x}^3+\color{#3D99F6}{y}^3 &= \ \color{#20A900}{?} \end{aligned}$