Question

Check picture for question and answer choices

Answer 1

Therefore,

`x=b` is the required value.

Explanation:

If a ≠ 0, a ≠ 1 and

`(ax-b)/(a-1) =b\\\\`

To Find:

x = ?

Solution:

`(ax-b)/(a-1) =b\\\\ax-b=b(a-1)\\`

Applying Distributive Property i.e A(B+C)=AB+AC we get

`ax-b=b* a-b* 1\\\\ax-b=b* a-b\\\\ax=b* a-b+b\\\\ax=b* a\\\\x=(ba)/(a)\\a\\eq 0\ a\\eq 1\\a\ will\ cancel\\\\ x=b`

Therefore,

`x=b` is the required value.