Question

2/x+3/y=13 and 5/x-4/y=-2 by cross multiplication method

Answer 1

Given,

2/x + 3/y = 13 ----(1)

5/x - 4/y = -2 ------(2)

Let 1/x = a and 1/y = b , We get

2a+3b=13 -----(3)

5a-4b = -2 -----(4)

On solving (3) * 4 & (4) * 3, we get

8a + 12b = 52

15a - 12b = -6

----------------------

23a = 46

=> a = 2

Substitute the value of a in equation (3), we get

=> 4 + 3b = 13

=> 3b = 13 - 4

=> 3b = 9

=> b = 9/3

=> b = 3

But 1/x = a = 2 => x = 1/2

1/y = b = 3 => y = 1/3

Thus,

x = (1/2), y = (1/3)