Question

Equation

`(z + (6)/(7) ) + (2)/(14) = - 1`
​

Answer 1

Given:

The equation is

`\left(z+(6)/(7)\right)+(2)/(14)=-1`

To find:

The solution of the given equation.

Solution:

We have,

`\left(z+(6)/(7)\right)+(2)/(14)=-1`

It can be written as

`\left(z+(6)/(7)\right)+(1)/(7)=-1`

`\left(z+(6)/(7)\right)=-1-(1)/(7)`

Multiply both sides by 7.

`7z+6=-7-1`

`7z+6=-8`

`7z=-8-6`

`7z=-14`

Divide both sides by 7.

`z=(-14)/(7)`

`z=-2`

Therefore, the value of z is -2.