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

Answer:

$x=8$

Step-by-step explanation:

We have been given an equation $\frac{7}{8}-\frac{1}{x}=\frac{3}{4}$. 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.

$\frac{7}{8}*8x-\frac{1}{x}*8x=\frac{3}{4}*8x$

$7x-8=6x$

Now, we will switch sides of our equation.

$6x=7x-8$

$6x-7x=7x-7x-8$

$-x=-8$

$\frac{-x}{-1}=\frac{-8}{-1}$

$x=8$

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