Question

if 2/x+3/y=13 and 5/x-4/y=-2 then find then x+y equal to
​

Answer 1

Answer:

2/x+3/y=13

5/x-4/y=-2

Multiplication of xy in both equation,

2y+3x = 13xy

5y-4x = - 2xy

Equating the coefficient

10y + 15x = 65xy

10y - 8x = - 4xy

So,

Equation 1 - 2 gives,

23x = 69xy

y = 1/3

2/x+3/y=13

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

2/x+9=13

2/x = 4

x = 1/2

So,

x+y = 1/2 + 1/3 = 5/6