Question

Anyone can solve this question?​

Answer 1

see explanation

Explanation:

Given the 2 equations

x² + y² = 5 → (1)

2x + y = 4 → (2)

Rearrange (2) expressing y in terms of x by subtracting 2x from both sides

y = 4 - 2x → (3)

Substitute y = 4 - 2x in (1)

x² + (4 - 2x)² = 5 ← expand factor on left side

x² + 16 - 16x + 4x² = 5

5x² - 16x + 16 = 5 ( subtract 5 from both sides )

5x² - 16x + 11 = 0 ← in standard form

(5x - 11)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

5x - 11 = 0 ⇒ 5x = 11 ⇒ x =
`(11)/(5)`

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

x = 1 : y = 4 - 2 = 2 ⇒ P(1, 2)

x =
`(11)/(5)` : y = 4 -
`(22)/(5)` = -
`(2)/(5)`

Hence Q(
`(11)/(5)`, -
`(2)/(5)` )