Can someone help me please ? :)

(4, 3 ) and (1.5, 8 )

Step-by-step explanation:

Given the 2 equations

2x + y = 11 → (1)

xy = 12 → (2)

Rearrange (1) expressing y in terms of x by subtracting 2x from both sides.

y = 11 - 2x → (3)

Substitute y = 11 - 2x into (2

x(11 - 2x) = 12 , that is

11x - 2x² = 12 ( subtract 12 from both sides )

11x - 2x² - 12 = 0

2x² - 11x + 12 = 0 ← in standard form

(x - 4)(2x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 1.5

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

x = 4 : y = 11 - 2(4) = 11 - 8 = 3 ⇒ (4, 3 )

x = 1.5 : y = 11 - 2(1.5) = 11 - 3 = 8 ⇒ (1.5, 8 )

step-by-step explanation: