Question

Qual o resultado do sistema
x²+y²=25
2x+y=10

Answer 1

$\left \{ {{x^2+y^2=25} \atop {2x+y=10}} \right. \\\left \{ {{\sqrt{x^2+y^2=25} } \atop {2x+y=10}} \right.\\\left \{ {{x+y=5} \atop {2x+y=10}} \right. \\Temos~que:\\x+ y=5\\x =5-y.\\Substitua~na~segunda.\\2x+y=10\\2.(5-y)+y=10\\10-2y+y =10\\-y=0\\y = 0\\Substitua~novamente.\\x^2+y^2=25\\x^2+(0)^2=25\\x=\sqrt{25}\\ x = 5.\\Sendo~assim:$

S = {5, 0}.

Att, Felipemlvr.