Question

Solve for u,-u - 1/2 =7/5u - 3/5u=?

Answer 1

We are given the following expression:

`-u-(1)/(2)=(7)/(5)u-(3)/(5)`

We are asked to solve for "u". To do that we will first subtract 7u/5 on both sides:

`-u-(7)/(5)u-(1)/(2)=(7)/(5)u-(3)/(5)-(7)/(5)u`

Solving the operations:

`-(12)/(5)u-(1)/(2)=-(3)/(5)`

Now we add 1/2 on both sides:

`-(12)/(5)u-(1)/(2)+(1)/(2)=-(3)/(5)+(1)/(2)`

Solving the operations:

`-(12)/(5)u=-(1)/(10)`

Now we multiply both sides by 5

`-12u=-(1)/(10)(5)`

Simplifying the fraction to the right:

`-12u=-(1)/(2)`

Now we divide by -12

`u=(-(1)/(12))(-(1)/(2))`

Solving the operations we get:

`u=(1)/(24)`

Therefore the result of solving for "u" is: u = 1/24