What multiplys to be 12 but adds to be 7

Xy = 12

x + y = 7

x + y = 7

x - x + y = - x + 7

y = - x + 7

xy = 12

x (-x + 7) = 12

x (-x) + x (7) = 12

-x² + 7x = 12

-x² + 7x - 12 = 0

-1 (x²) - 1 (-7x) - 1 (12) = 0

-1 (x² - 7x + 12) = 0

-1 - 1

x² - 7x + 12 = 0

x² - 4x - 3x + 12 = 0

x (x) - x (4) - 3 (x) - 3 (-4) = 0

x (x - 4) - 3 (x - 4) = 0

(x - 3) (x - 4) = 0

x - 3 = 0 or x - 4 = 0

+ 3 + 3 + 4 + 4

x = 3 x = 4

x + y = 7

3 + y = 7

- 3 - 3

y = 4

(x, y) = (3, 4)

or

x + y = 7

4 + y = 7

- 4 - 4

y = 3

(x, y) = (4, 3)

The two numbers that mutliplies to 12 and add up to 7 are 3 and 4.