Question

Find the values of x and y if:
x+y=11
xy=30
(Note : x>y)

Answer 1

Answer:

given

x + y = 11

x = 11 - y

Now

xy = 30

y(11 - y)= 30

y^2 - 11y + 30 = 0

(y - 5)(y - 6) = 0

y = 5 and 6

so

x = 6 and 6

Answer 2

Step-by-step explanation:

x=11-y

put in x value..

xy=30

y(11-y)=30

11y-y^2=30

11y-y^2-30=0

-y^2 + 11y - 30=0

-y^2+(5y+6y)-30=0

-y^2+5y+6y-30=0

y(-y+5)-6(-y+5)=0

(y- 6)(-y+5)

y=6;y=-5

put value of y

x=11-y

x=11-6

x=5