Question

(05.08)Solve for x: 7 over 8 minus 1 over x equals 3 over 4.

Answer 1

If you are asking 7/8 - 1/x= 3/4,

first put 3/4 to 6/8 to make it easier.

Move the 7/8 over to the right. You will get 1/x=-1/8.

Simplify, it is x=-8.

Check=7/8 - 1/8=6/8

It checks out.

Answer 2

`x=8`

Explanation:

We have been given an equation
`(7)/(8)-(1)/(x)=(3)/(4)`. We are asked to solve for x.

To solve our given equation, we will multiply both sides of our given equation by least common multiple of 8, 4 and x that is 8x.

`(7)/(8)*8x-(1)/(x)*8x=(3)/(4)*8x`

`7x-8=6x`

Now, we will switch sides of our equation.

`6x=7x-8`

`6x-7x=7x-7x-8`

`-x=-8`

`(-x)/(-1)=(-8)/(-1)`

`x=8`

Therefore, the solution for our given equation is
`x=8`.