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I want to add numbering to each equation below:

\documentclass[fleqn,12pt]{article}

\usepackage[top=0.75in, bottom=1in, left=1in, right=1in]{geometry}
\geometry{a4paper} 
\usepackage{tikz}
\usepackage{amsmath}
\usepackage{systeme}

\begin{document}

$$
\Sigma F=ma:
\begin{cases}
 for(M): M\ddot x_1&=-kx_1+T-2k(x_1-x_3-r\theta)+F_1 \\
for(3m): 3m\ddot x_2&=F_2-T\\
for(m): m\ddot x_3&=-c\dot x-3-3kx_3+2k(x_1-x_3-r\theta)+F_3
\end{cases}
$$

\end{document}

I want the numbers to be 1,2 and 3 not 1.a,1.b and 1.c

3

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