Question

if x+y=8 and xy=15, find the value of x and y
pls guys help.....pls!​

Answer 1

Answer:

5 and 3

Step-by-step explanation:

⇒ x + y = 8  

⇒ y = 8 - x        ...(1)

  Substitute the value in xy = 15,

⇒ x(8 - x) = 15

⇒ 8x - x² = 15

⇒ x² - 8x = - 15

⇒ x² - 8x + 15 = 0

⇒ x² - (5 + 3)x + 15 = 0

⇒ x² - 5x - 3x + 15 = 0

⇒ x(x - 5) - 3(x - 5) = 0

⇒ (x - 5)(x - 3) = 0

⇒ x = 5 or x = 3

     Hence, when x = 5,  y = 8 - 5 = 3

when x = 3, y = 8 - 3 = 5

Answer 2

Answer:

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