What is a number mulitplyed by 8 and added by 6?

Xy = 8

x + y = 6

x + y = 6

x - x + y = - x + 6

y = - x + 6

xy = 8

x (-x + 6) = 8

x (-x) + x (6) = 8

-x² + 6x = 8

-x² + 6x - 8 = 0

-1 (x²) - 1 (-6x) - 1 (8) = 0

-1 (x² - 6x + 8) = 0

-1 - 1

x² - 6x + 8 = 0

x² - 4x - 2x + 8 = 0

x (x) - x (4) - 2 (x) + 2 (4) = 0

x (x - 4) - 2 (x - 4) = 0

(x - 2) (x - 4) = 0

x - 2 = 0 or x - 4 = 0

+ 2 + 2 + 4 + 4

x = 2 or x = 4

x + y = 6

2 + y = 6

- 2 - 2

y = 4

(x, y) = (2, 4)

or

x + y = 6

4 + y = 6

- 4 - 4

y = 2

(x, y) = (4, 2)

The two numbers that add up to 6 and multiply to 8 are 4 and 2.