Question

Solve the system x+y=4 xy = - 12

Answer 1

(-2,6) (6,-2)

Explanation:

x = -y +4 Substitute this in for x in the second equaion

(-y + 4)y = -12

`-y^(2)` + 4y = -12 Can we rewritten:

`y^(2)` -4y -12 = 0 factor

(y -6)(y +2) = 0

y - 6 = 0

y = 6

x + y = 4

x + 6 = 4 Subtract 6 from both sides

x = -2

(-2,6)

y + 2 = o

y= -2

x + y = 4

x -2 = 4 Add 2 to both sides

x = 6

(6,-2)