What adds up to 7 and can also be multiplied to - 30

X + y = 7

xy = - 30

x + y = 7

x - x + y = - x + 7

y = - x + 7

xy = - 30

x (-x + 7) = - 30

x (-x) + x (7) = 30

-x² + 7x = - 30

-x² + 7x + 30 = 0

-1 (x²) - 1 (-7x) - 1 (-30) = 0

-1 (x² - 7x - 30) = 0

-1 - 1

x² - 7x - 30 = 0

x² - 10x + 3x - 30 = 0

x (x) - x (10) + 3 (x) - 3 (10) = 0

x (x - 10) + 3 (x - 10) = 0

(x + 3) (x - 10) = 0

x + 3 = 0 or x - 10 = 0

- 3 - 3 + 10 + 10

x = - 3 or x = 10

x + y = 7 or x + y = 7

-3 + y = 7 or 10 + y = 7

+ 3 + 3 - 10 - 10

y = 10 or y = - 3

(x, y) = (-3, 10) or (x, y) = (10, - 3)

The two numbers that add up to 7 and multiply to 30 are - 3 and 10.