Question

X*Y =16
X+Y=8
what is the value of X and Y

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer: x = 4 and y = 4

Step-by-step explanation:

x*y = 16

∴ x = 16/y................(1)

we have x + y = 8 ...............(2)

substituting equation (1) in (2)

$\frac{16}{y} + y = 8$

$\frac{16 + y^{2} }{y} = 8$

16 + y² = 8y

y²- 8y + 16 = 0

y² - 4y - 4y + 16 = 0

y(y - 4) - 4(y - 4) = 0

(y - 4)(y - 4) = 0

∴ y = 4 or y = 4

substituting value of y in $eq^{n} ( 2)$

x + 4 = 8

x = 4

∴ x = 4 and y = 4