[tex]\displaystyle\bf\\\left \{ {{8x+3y=1} \atop {2x-4y=-18}|:2 \ } \right. \\\\\\\left \{ {{8x+3y=1} \atop {x-2y=-9} \ |\cdot(-8)} \right.\\\\\\+\left \{ {{8x+3y=1} \atop {-8x+16y=72}} \right. \\----------\\19y=73\\\\y=73:19=3\frac{16}{19} \\\\x=2y-9=2\cdot\frac{73}{19} -9=\frac{146}{19} -9=7\frac{13}{19} -9=-1\frac{6}{19} \\\\\\Otvet \ : \ \Big(-1\frac{6}{19} \ ; \ 3\frac{16}{19} \Big)[/tex]
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[tex]\displaystyle\bf\\\left \{ {{8x+3y=1} \atop {2x-4y=-18}|:2 \ } \right. \\\\\\\left \{ {{8x+3y=1} \atop {x-2y=-9} \ |\cdot(-8)} \right.\\\\\\+\left \{ {{8x+3y=1} \atop {-8x+16y=72}} \right. \\----------\\19y=73\\\\y=73:19=3\frac{16}{19} \\\\x=2y-9=2\cdot\frac{73}{19} -9=\frac{146}{19} -9=7\frac{13}{19} -9=-1\frac{6}{19} \\\\\\Otvet \ : \ \Big(-1\frac{6}{19} \ ; \ 3\frac{16}{19} \Big)[/tex]