If x+y=12 and xy=32,then find X and y
answer with explaination

x = 4, y = 8 or x = 8, y = 4

Step-by-step explanation:

Given the 2 equations

x + y = 12 → (1)

xy = 32 → (2)

From 2

y =

Substitute y = into (1)

x + = 12 ( multiply through by x )

x² + 32 = 12x ( subtract 12x from both sides )

x² - 12x + 32 = 0 ← in standard form

(x - 4)(x - 8) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 8 = 0 ⇒ x = 8

Substitute these values into (1) for corresponding values of y

x = 4  : 4 + y = 12 ⇒ y = 8

x = 8 : 8 + 4 = 12 ⇒ y = 4

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice