verify that (x÷y)-1 = x-1÷ y-1 by taking x=-5/11, y=7/3...
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Given: (x÷y)-1 = x-1÷ y-1 and x=-5/11, y=7/3.
To find: Verify by using the value of x and y.
Solution:
- Lets consider LHS first, we have: (x÷y)-1
- Now by putting values of x and y in this, we get:
(x / y) - 1 = ( -5/11 / 7/3 ) - 1
= (-15 / 77 ) - 1
= -15 - 77 / 77
LHS = -92 / 77
- Lets consider RHS now, we have: x-1÷ y-1
- Now by putting values of x and y in this, we get:
x-1 / y-1 = ( -5/11 - 1 ) / ( 7/3 - 1 )
= ( -16/11 ) / ( 4 / 3 )
RHS = (-12 / 11)
So LHS ≠ RHS.
Answer:
So from above we have verified that (x÷y)-1 ≠ x-1÷ y-1
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