Question

Anyone know this?????

Answer 1

Step-by-step explanation:

its a false equasion x € R

Answer 2

Answer:

(- 2, 1 ) and (1, 4 )

Step-by-step explanation:

Given the 2 equations

y = - x² + 5 → (1)

- x + y = 3 → (2)

Rearrange (2) expressing y in terms of x by adding x to both sides

y = x + 3 → (3)

Substitute y = x + 3 into (1)

x + 3 = - x² + 5 ( subtract - x² + 5 from both sides )

x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

Substitute these values into (3) for corresponding values of y

x = - 2 : y = - 2 + 3 = 1 ⇒ (- 2, 1 )

x = 1 : y = 1 + 3 = 4 ⇒ (1, 4 )