Question

Solve for X and Y :

ax/b - by/a = a+b

ax - by = 2ab

Answer 1

hey mate

Ax/b-by/a=a+b -------------(1)
ax-by=2ab ------------------(2)
 Using cross multiplication method we get,
 x/(2b²-ab-b²)=y/(-a²-ab+2a²)=1/(a-b)
or, x/(b²-ab)=y/(a²-ab)=1/(a-b)
or, x/(-b)(a-b)=y/a(a-b)=1/(a-b)
Equating the first and the last part,
x/(-b)(a-b)=1/(a-b)
or, x=(-b)(a-b)/(a-b)
or, x=-b
Again equating the last two parts,
y/a(a-b)=1/(a-b)
or, y=a(a-b)/(a-b)
or, y=a
∴, the required solution : x=-b, y=a

4.1

49 votes

THANKS



Answer:

ax/b-by/a=a+b ...........(1)

ax-by=2ab .............(2)

 Using cross multiplication method we get,

 x/(2b²-ab-b²)=y/(-a²-ab+2a²)=1/(a-b).

Equating the first and the last..

x/(-b)(a-b)=1/(a-b)

or, x=(-b)(a-b)/(a-b)

or, x=-b

Again equating the last two .....

y/a(a-b)=1/(a-b)

or, y=a(a-b)/(a-b)

or, y=a

∴  The required solution : x=-b, y=a....

I think it helps.....