Question

If ax-1 = by+1 then find the value of (x, y) ?​

Answer 1

Answer:

We have,

ax−1=bc

aax=abc

ax=abc

a=(abc)1/x   …(1)

 

Similarly,

b=(abc)1/y    …(2)

c=(abc)1/z     …(3)

 

Multiply (1),(2),(3)

abc=(abc)1/x.(abc)1/y.(abc)1/z

abc=(abc)1/x+1/y+1/z

∴ x1+y1+z1=1

xyzxy+yz+zx=1

xy+yz+zx=xyz

xy+yz+zx−xyz=0

 

Hence, this is the answer.