What are the solutions to the system of equations?
x2 + y2 = 5
y = 2x.

(1, 2) and (- 1, - 2)

Step-by-step explanation:

Given the 2 equations

x² + y² = 5 → (1)

y = 2x → (2)

Substitute y = 2x into (1)

x² + (2x)² = 5, that is

x² + 4x² = 5

5x² = 5 ( divide both sides by 5 )

x² = 1 ( take the square root of both sides )

x = ± = ± 1

Substitute these values into (2) for corresponding values of y

x = 1 → y = 2(1) = 2 ⇒ (1, 2)

x = - 1 → y = 2(- 1) = - 2 ⇒ (- 1, - 2)

ddsf

step-by-step explanation:

dfs

2

step-by-step explanation: