Question

Solve for x
(4/y) + (3/x) = 8
(6/y) + (5/x) = 13

Answer 1

0.5

Explanation:

Given data

`(4)/(y) +(3)/(x) =8\\(6)/(y)+(5)/(x) =13`

Now,

4x+3y=8xy......(i)

6x+5y=13xy.......(ii)

Multiply by 5 in equation (i) and by 3 in equation (ii)

20x+15y=40xy.....(iii)

18x+15y=39xy.....(iV)

Solving above equation (iii) and (iv)

2x=xy

y=2

Now, putting the y=2 in equation (i)

4x+3(2)=8x(2)

4x+6=16x

6=12x

x=0.5

Value of x=0.5