Example:
Solve 1/x + 1/y = 10 and 3/x + 2/y = 24.
Solution:
Given that 1/x + 1/y = 10 (1)
3/x + 2/y = 24(2)
Let 1/x = a and 1/y = b
The given equations can be written as
a + b = 10 (3)
3a + 2b = 24 (4)
Multiply the equation (3) by 2, we get
2a + 2b = 20(5)
Subtract (5) from (4)
 3a + 2b = 24  (4) 
 2a + 2b = 20  (5) 
Subtract (5) from (4) we get 
a = 4 
Substitute a = 4 in equation (3), we get
4 + b = 10
b = 10  4
b = 6
but
a = 1/x = 4
x = 1/4
b = 1/y = 6
y = 1/6
Therefore, solution set {(1/4,1/6)}.
Directions: Choose the correct answer. Also write at least ten examples of your own.
