[tex]\left\{ \begin{array}{l}x - y = 4x - 3y + 5 \: \: | - (4x - 3y)\\ x + y = 3x + 5y - 2 \: \: | - (3x + 5y)\end{array}\right. \\ \left\{ \begin{array}{l} - 3x + 2y =5 \\ - 2x - 4y =- 2 \: \: | \div ( - 2)\end{array}\right. \\ \left\{ \begin{array}{l} - 3x + 2y =5 \\ x + 2y = 1 \: \: | - 2y\end{array}\right. \\ \left\{ \begin{array}{l} - 3x + 2y =5 \\ x = 1 - 2y\end{array}\right. \\ \left\{ \begin{array}{l} - 3(1 - 2y) + 2y =5 \\ x = 1 - 2y\end{array}\right. \\ \left\{ \begin{array}{l} - 3 + 6y+ 2y =5 \: \: | + 3 \\ x = 1 - 2y\end{array}\right. \\ \left\{ \begin{array}{l} 8y =8 \: \: | \div 8\\ x = 1 - 2y\end{array}\right. \\ \left\{ \begin{array}{l} y =1\\ x = 1 - 2y\end{array}\right. \\ \left\{ \begin{array}{l} y =1\\ x = 1 - 2 \times 1\end{array}\right. \\ \left\{ \begin{array}{l} x = - 1\\ y = 1\end{array}\right. \\[/tex]
