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Ответ:

[tex]4x - 3y = 35 \\ - \\ 4x + 24y = 8 \\ \\ 4x - 4x - 3y - 24y = 35 - 8 \\ - 27y = 27 \\ y = - 1 \\ \\ x - 6 = 2 \\ x = 8[/tex]

[tex]\displaystyle\bf\\\left \{ {{x+6y=2} \atop {4x-3y=35 \ |\cdot 2}} \right. \\\\\\+\left \{ {{x+6y=2} \atop {8x-6y=70}} \right. \\---------\\9x=72\\\\x=72:9\\\\\boxed{x=8}\\\\6y=2-x=2-8=-6\\\\y=-6:6\\\\\boxed{y=-1}\\\\Otvet \ : \ (8 \ ; \ -1)[/tex]