Question

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

Answer 1

Answer:

0.5

Step-by-step explanation:

Given data

$\frac{4}{y} +\frac{3}{x} =8\\\frac{6}{y}+\frac{5}{x} =13$

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