Question

Решить систему уравнений​

Answer 1

$+\left \{ {{2x+5xy=14} \atop {y-5xy=-9}} \right.\\ -------\\2x+y=5\\\\y=5-2x\\\\2x+5x(5-2x)=14\\\\2x+25x-10x^{2}-14=0\\\\-10x^{2}+27x-14=0\\\\10x^{2}-27x+14=0\\\\D=(-27)^{2} -4*10*14=729-560=169=13^{2}\\\\x_{1}=\frac{27+13}{20}=2\\\\x_{2}=\frac{27-13}{20}=0,7\\\\y_{1}=5-2*2=1\\\\y_{2} =5-2*0,7=3,6\\\\Otvet:\boxed{(2;1),(0,7;3,6)}$