Something like this? Note the use of (a) the array package and array environments, (b) the use of (typographic) struts so that the rows in the first array line up with the ones in the second array, (c) curly braces to encase the commas that serve as decimal markers and (d) \addlinespace to provide a bit more whitespace between the rows.

\documentclass{article}
\usepackage{array,amssymb,booktabs}
\newcommand{\tallstrut}{\vphantom{\frac{5_A}{4,10^3}}} % a typographic strut
\begin{document}
\[
\left\{
\begin{array}{>{\displaystyle\tallstrut}l@{}}
I_1=I_2+I_3+I_4\\
\addlinespace
I_3=I_5+I_6
\end{array}
\right.
\Leftrightarrow
\left\{
\begin{array}{>{\displaystyle}l@{}}
\frac{5-u_A}{1{,}0\times10^3}=\frac{u_A-4}{2{,}2\times 10^3}+
\frac{u_A-u_B}{4{,}7\times 10^3}+\frac{u_A}{4{,}5\times 10^3}\\ \addlinespace
\frac{u_A-u_B}{4,7\times 10^3}=\frac{u_B}{6{,}8\times10^3}+2\times10^3
\end{array}
\right.
\]
\end{document}
Addendum: As @egreg has noted in a comment, the same output may be achieved -- with slightly less typing -- by employing dcases environments (provided by the mathtools package):
\documentclass{article}
\usepackage{amssymb,booktabs,mathtools}
\newcommand{\tallstrut}{\vphantom{\frac{5_A}{4,10^3}}} % a typographic strut
\begin{document}
\[
\begin{dcases}
I_1=I_2+I_3+I_4\tallstrut\\
\addlinespace
I_3=I_5+I_6\tallstrut
\end{dcases}
\Leftrightarrow
\begin{dcases}
\frac{5-u_A}{1{,}0\times10^3}=\frac{u_A-4}{2{,}2\times 10^3}+
\frac{u_A-u_B}{4{,}7\times 10^3}+\frac{u_A}{4{,}5\times 10^3}\\ \addlinespace
\frac{u_A-u_B}{4,7\times 10^3}=\frac{u_B}{6{,}8\times10^3}+2\times10^3
\end{dcases}
\]
\end{document}
$$ought not to be used in LaTeX. It is 20+ years deprecated. – cfr Oct 05 '16 at 02:16amsmathand use\dfracor\displaystyle\frac. – Werner Oct 05 '16 at 02:45$$what can I use for the same function? – Carmen González Oct 05 '16 at 08:33\[ … \]preferable to$$? – egreg Oct 05 '16 at 08:40