1) Решим системы уравнений способом алгебраического сложения .
[tex]\displaystyle\bf\\1)\\\\\left \{ {{y-2x=4} \atop {7x-y=1}} \right. \\\\\\+\left \{ {{y-2x=4} \atop {-y+7x=1}} \right.\\ ---------\\5x=5\\\\x=1\\\\y=2x+4=2\cdot 1+4=2+4=6\\\\Otvet: \ \Big(1 \ ; \ 6\Big)\\\\\\2)\\\\\left \{ {{2x+5y=0} \ |\cdot 4 \atop {-8x+15y=7}} \right. \\\\\\+\left \{ {{8x+20y=0} \atop {-8x+15y=7}} \right.\\ ----------\\35y=7\\\\y=7:35\\\\y=0,2\\\\2x=-5y\\\\x=-2,5y=-2,5\cdot 0,2=-0,5\\\\Otvet: \ \Big(-0,5 \ ; \ 0,2\Big)[/tex]
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1) Решим системы уравнений способом алгебраического сложения .
[tex]\displaystyle\bf\\1)\\\\\left \{ {{y-2x=4} \atop {7x-y=1}} \right. \\\\\\+\left \{ {{y-2x=4} \atop {-y+7x=1}} \right.\\ ---------\\5x=5\\\\x=1\\\\y=2x+4=2\cdot 1+4=2+4=6\\\\Otvet: \ \Big(1 \ ; \ 6\Big)\\\\\\2)\\\\\left \{ {{2x+5y=0} \ |\cdot 4 \atop {-8x+15y=7}} \right. \\\\\\+\left \{ {{8x+20y=0} \atop {-8x+15y=7}} \right.\\ ----------\\35y=7\\\\y=7:35\\\\y=0,2\\\\2x=-5y\\\\x=-2,5y=-2,5\cdot 0,2=-0,5\\\\Otvet: \ \Big(-0,5 \ ; \ 0,2\Big)[/tex]