Question

considere o sistema de equaçao a seguir
{y+x² -5x =3
{y-x= -2
sendo (x1 y1) e (x2 y2) as soluçoes desse sistema ,caucule o valor de x1+y1+x2× y2


pfvr me ajudem

Answer 1

$\textcircled{1}\cdots\; y+x^2-5x=3\\ \\ \textcircled{2}\cdots\; y-x=-2\\ \\ \text{Despejando }y\text{ en }\textcircled{2}:\\ \\ \textcircled{3}\cdots\; y=x-2\\ \\ \text{Reemplazando }\textcircled{3}\text{ en }\textcircled{1}:\\ x-2+x^2-5x=3\\ x^2-4x-5=0\\ (x-5)(x+1)=0\\ \boxed{x\in\{-1,5\}} \\ \\ \text{Entonces}\\ \\ \boxed{(x,y)\in\{(-1,-3);(5,3)\}}$