Question

PLEASE HELP ASAP

What are the solutions to the system of equations?

x^2 + y^2 = 5
y = 2x

(_,2) and (_,_)

Answer 1

Explanation:

x² + y² = 5 .....(1)

y = 2x....(2)

put y = 2x in (1) :

x² + (2x)² =5

x²+4x² =5

5x² = 5

x² = 1

so : x = 1 or x = -1

if x = 1 y = 2

if x = -1 y = - 2

two solutions : (1;2) , ( - 1 ; -2 )