Answer:
The answer to your question is
x = -2 and y = 10 or x = 10 and y = -2
Step-by-step explanation:
x + y = 8 (1) from (1) x = 8 - y
xy = - 20 (2)
Solve them by substitution
(8 - y) y = - 20
8y - y² = -20
y² - 8y - 20 = 0
( y - 10) (y + 2) = 0
y - 10 = 0 and y + 2 = 0
y1 = 10 y2 = -2
x1 = 8 - 10 x2 = 8 - -2
x1 = -2 x2 = 10