1 \cdot x_{1} + 2 \cdot x_{6} + 1 \cdot x_{7} = k_{10}\\ 1 \cdot x_{2} + 2 \cdot x_{5} + 1 \cdot x_{8} = k_{11}\\ 1 \cdot x_{3} + 1 \cdot x_{5} = k_{12}\\ 1 \cdot x_{4} + 1 \cdot x_{6} = k_{13}