TeX джерело:

\begin{array}{l}\left\{ \begin{array}{l}{2^x} + {2^y} = 6,\\x + y = 3.\end{array} \right.\;\left\{ \begin{array}{l}{2^x} + {2^y} = 6,\\x = 3 - y;\end{array} \right.\;\left\{ \begin{array}{l}{2^{3 - y}} + 2y = 6,\\x = 3 - y;\end{array} \right.\;\left\{ \begin{array}{l}\frac{8}{{{2^y}}} + {2^y} = 6;\\x = 3 - y;\end{array} \right.\\\left\{ \begin{array}{l}{(2y)^2} - 6 \cdot {2^y} + 8 = 0,\\x = 3 - y;\end{array} \right.\left\{ \begin{array}{l}{2^y} = 4,\\x = 3 - y;\end{array} \right.abo\left\{ \begin{array}{l}{2^y} = 2,\\x = 3 - y;\end{array} \right.\left\{ \begin{array}{l}y = 2,\\x = 3 - y;\end{array} \right.abo\left\{ \begin{array}{l}y = 1;\\x = 3 - y.\end{array} \right.\end{array}