[tex]\displaystyle\bf\\1)\\\\+\left \{ {{6x-2y=10} \atop {4x+2y=-40}} \right. \\----------\\10x=-30\\\\x=-30:10=-3\\\\2y=6x-10=6\cdot(-3)-10=-18-10=-28\\\\y=-28:2=-14\\\\Otvet \ : \ (-3 \ ; \ -14)\\\\2)\\\\\left \{ {{-3x+4y=1 \ |\cdot 2} \atop {6x-2y=14}} \right. \\\\\\+\left \{ {{-6x+8y=2} \atop {6x-2y=14}} \right.\\ ----------\\6y=16\\\\y=16:6=2\frac{2}{3} \\\\6x=14+2y=14+2\cdot\frac{8}{3} =14+5\frac{1}{3} =19\frac{1}{3}[/tex]
[tex]\displaystyle\bf\\x=19\frac{1}{3} :6=\frac{58}{3} \cdot\frac{1}{6} =\frac{29}{9} =3\frac{2}{9} \\\\\\Otvet \ : \ \Big(3\frac{2}{9} \ ; \ 2\frac{2}{3} \Big)[/tex]
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[tex]\displaystyle\bf\\1)\\\\+\left \{ {{6x-2y=10} \atop {4x+2y=-40}} \right. \\----------\\10x=-30\\\\x=-30:10=-3\\\\2y=6x-10=6\cdot(-3)-10=-18-10=-28\\\\y=-28:2=-14\\\\Otvet \ : \ (-3 \ ; \ -14)\\\\2)\\\\\left \{ {{-3x+4y=1 \ |\cdot 2} \atop {6x-2y=14}} \right. \\\\\\+\left \{ {{-6x+8y=2} \atop {6x-2y=14}} \right.\\ ----------\\6y=16\\\\y=16:6=2\frac{2}{3} \\\\6x=14+2y=14+2\cdot\frac{8}{3} =14+5\frac{1}{3} =19\frac{1}{3}[/tex]
[tex]\displaystyle\bf\\x=19\frac{1}{3} :6=\frac{58}{3} \cdot\frac{1}{6} =\frac{29}{9} =3\frac{2}{9} \\\\\\Otvet \ : \ \Big(3\frac{2}{9} \ ; \ 2\frac{2}{3} \Big)[/tex]