[math]{\begin{array}{l}LGS_{1}:\left| \begin{eqnarray} +19\cdot a+23\cdot b & = &433 \\ -14\cdot a+17\cdot b &=& 292\\ \end{eqnarray} \right| \\ LGS_{2}:\left| \begin{eqnarray} -24\cdot a+12\cdot b & = &24 \\ -3\cdot a+16\cdot b &=& 264\\ \end{eqnarray} \right| \\ LGS_{3}:\left| \begin{eqnarray} -17\cdot a+1\cdot b & = &-301 \\ +25\cdot a+3\cdot b &=& 465\\ \end{eqnarray} \right| \\ LGS_{4}:\left| \begin{eqnarray} -1\cdot a-9\cdot b & = &-74 \\ +4\cdot a-3\cdot b &=& 23\\ \end{eqnarray} \right| \\ LGS_{5}:\left| \begin{eqnarray} -25\cdot a-4\cdot b & = &-66 \\ +4\cdot a+17\cdot b &=& 76\\ \end{eqnarray} \right| \\ LGS_{6}:\left| \begin{eqnarray} +1\cdot a+20\cdot b & = &65 \\ +1\cdot a-5\cdot b &=& -10\\ \end{eqnarray} \right| \\ LGS_{7}:\left| \begin{eqnarray} +18\cdot a+17\cdot b & = &440 \\ +10\cdot a-21\cdot b &=& -60\\ \end{eqnarray} \right| \\ LGS_{8}:\left| \begin{eqnarray} +19\cdot a-3\cdot b & = &175 \\ +19\cdot a-21\cdot b &=& 85\\ \end{eqnarray} \right| \\ LGS_{9}:\left| \begin{eqnarray} +8\cdot a-6\cdot b & = &24 \\ -25\cdot a+16\cdot b &=& -86\\ \end{eqnarray} \right| \\ LGS_{10}:\left| \begin{eqnarray} -22\cdot a+18\cdot b & = &-224 \\ +22\cdot a+7\cdot b &=& 249\\ \end{eqnarray} \right| \\ LGS_{11}:\left| \begin{eqnarray} +12\cdot a+2\cdot b & = &206 \\ +7\cdot a?0\cdot b &=& 105\\ \end{eqnarray} \right| \\ LGS_{12}:\left| \begin{eqnarray} +1\cdot a-24\cdot b & = &-213 \\ -21\cdot a+9\cdot b &=& 18\\ \end{eqnarray} \right| \\ LGS_{13}:\left| \begin{eqnarray} +20\cdot a+2\cdot b & = &104 \\ -18\cdot a+6\cdot b &=& 0\\ \end{eqnarray} \right| \\ LGS_{14}:\left| \begin{eqnarray} +10\cdot a+24\cdot b & = &458 \\ +12\cdot a+10\cdot b &=& 230\\ \end{eqnarray} \right| \\ LGS_{15}:\left| \begin{eqnarray} +12\cdot a+13\cdot b & = &229 \\ +24\cdot a+21\cdot b &=& 453\\ \end{eqnarray} \right| \\ LGS_{16}:\left| \begin{eqnarray} +23\cdot a-25\cdot b & = &362 \\ -19\cdot a-6\cdot b &=& -379\\ \end{eqnarray} \right| \\ LGS_{17}:\left| \begin{eqnarray} -25\cdot a-18\cdot b & = &-674 \\ -7\cdot a+17\cdot b &=& 208\\ \end{eqnarray} \right| \\ LGS_{18}:\left| \begin{eqnarray} -19\cdot a+20\cdot b & = &204 \\ +16\cdot a+25\cdot b &=& 414\\ \end{eqnarray} \right| \\ LGS_{19}:\left| \begin{eqnarray} -7\cdot a-11\cdot b & = &-153 \\ +19\cdot a-17\cdot b &=& -147\\ \end{eqnarray} \right| \\ LGS_{20}:\left| \begin{eqnarray} +2\cdot a+10\cdot b & = &46 \\ -21\cdot a+9\cdot b &=& -255\\ \end{eqnarray} \right| \\ LGS_{21}:\left| \begin{eqnarray} -24\cdot a+21\cdot b & = &183 \\ +5\cdot a-22\cdot b &=& -373\\ \end{eqnarray} \right| \\ LGS_{22}:\left| \begin{eqnarray} -1\cdot a+19\cdot b & = &185 \\ +2\cdot a+14\cdot b &=& 150\\ \end{eqnarray} \right| \\ LGS_{23}:\left| \begin{eqnarray} +15\cdot a+22\cdot b & = &718 \\ +13\cdot a+13\cdot b &=& 507\\ \end{eqnarray} \right| \\ LGS_{24}:\left| \begin{eqnarray} ?0\cdot a+9\cdot b & = &90 \\ -5\cdot a+11\cdot b &=& 95\\ \end{eqnarray} \right| \\ LGS_{25}:\left| \begin{eqnarray} -3\cdot a+5\cdot b & = &36 \\ -25\cdot a+19\cdot b &=& 96\\ \end{eqnarray} \right| \\ \end{array}}[/math]

[math]{\begin{array}{|l|l|}LGS_{1}&a=1, b=18 \\ LGS_{2}&a=8, b=18 \\ LGS_{3}&a=18, b=5 \\ LGS_{4}&a=11, b=7 \\ LGS_{5}&a=2, b=4 \\ LGS_{6}&a=5, b=3 \\ LGS_{7}&a=15, b=10 \\ LGS_{8}&a=10, b=5 \\ LGS_{9}&a=6, b=4 \\ LGS_{10}&a=11, b=1 \\ LGS_{11}&a=15, b=13 \\ LGS_{12}&a=3, b=9 \\ LGS_{13}&a=4, b=12 \\ LGS_{14}&a=5, b=17 \\ LGS_{15}&a=18, b=1 \\ LGS_{16}&a=19, b=3 \\ LGS_{17}&a=14, b=18 \\ LGS_{18}&a=4, b=14 \\ LGS_{19}&a=3, b=12 \\ LGS_{20}&a=13, b=2 \\ LGS_{21}&a=9, b=19 \\ LGS_{22}&a=5, b=10 \\ LGS_{23}&a=20, b=19 \\ LGS_{24}&a=3, b=10 \\ LGS_{25}&a=3, b=9 \\ \end{array}}[/math]