Find the value of x and y if

[40/(x+y)] + [2/(x-y)] = 5

[25/(x+y)] - [3/(x-y)] = 1

+1 vote

0 votes

Simplify [40/(x+y)]+[2/(x-y)]=5..............................................(a)

=>5(x+y)(x-y)=42x-38y...........................................(i)

Simplify [25/(x+y)]-[3/(x-y)]=1...............................................(b)

=>[(x+y)(x-y)]=22x-28y...............................................(ii)

Now,put value of [(x+y)(x-y)] from (ii) to (i)

=>5[22x-28y]=42x-38y

=>x=1.5y..................................................................(iii)

Now,

Put value of x from (iii) into (a)

=>y=4 & x=6

Ans :x=6 & y=4

...