Question

2x+3y=18 and xy=5 find value of x and y

Answer 1

xy = 5
x = 5/y

Substituting in 2x + 3y = 18

10/y + 3y = 18

10 + 3y² = 18y

3y² - 18y + 10 = 0

Here the roots are irrational. There seems to be some info missing. 

If we change the question:

xy = 5
x = 5/y

Substituting in 2x + 3y = 17

10/y + 3y = 17

10 + 3y² = 17y

3y² - 17y + 10 = 0

3y² - 15y - 2y + 10 = 0

3y(y - 5) -2(y - 5) = 0

(y - 5)(3y - 2) = 0

y = 5 or 2/3

If y = 5 then x = 1