Respuesta :

Given

[tex]\begin{gathered} x^2+y^2=5.........1 \\ y=2x+5............2 \end{gathered}[/tex]

Find

Solution

Explanation

substitute 2 equation in 1

[tex]\begin{gathered} x^2+(2x+5)^2=5 \\ x^2+4x^2+25+20x=5 \\ 5x^2+20x+20=0 \\ x^2+4x+4=0 \\ (x+2)^2=0 \\ x=-2,-2 \end{gathered}[/tex]

if x = -2 , then y = 2(-2)+5 =1

(-2 , 1)

Final Answer

Therefore , the correct option is 1.