Question

If 1/b = -6, then a+b/a-b

A. -7/6

B. -1

C. 5/7

D. 7/6

Answer 1

B) -1

Explanation:

`(1)/(b) = -6`

We know that
`b =- (1)/(6)`

Now we need to find
`(a + b)/(a - b)`

Substitute
`b = -(1)/(6)` into the expression:

`(a + (-(1)/(6) ))/(a - (-(1)/(6) ))`

Simplify the expression:

`(a - (1)/(6) )/(a + (1)/(6) )`

Now, let's evaluate the expression for the given options of
`a`:

A, If a = -1;

`(-1 - (1)/(6) )/(-1 + (1)/(6) ) = (-7/6)/(-5/6) = (7)/(5) = 1.4`

B, if a = 0;

`(0 - (1)/(6) )/(0 + (1)/(6) ) = (-1/6)/(1/6) = -1`

C, if a = 1;

`(1 - (1)/(6) )/(1 + (1)/(6) ) = (5/6)/(7/6) = (5)/(7)`

D, if a = 2;

`(2 - (1)/(6) )/(2 + (1)/(6) ) = (11/6)/(13/6) = (11)/(13)`

Among the given options, the correct answer is B) - 1