Question

Solve 2r= 5s/2 - s/4 for s

Answer 1

The value of the equation for s is
`s=(8r)/(9)`.

Explanation:

Consider the provided equation.

`2r= (5s)/(2) - (s)/(4)`

We need to solve the equation for s.

Add the like terms.

`2r= (10s-s)/(4)`

`2r= (9s)/(4)`

Multiply both the sides by 4.

`2r* 4= 9s`

`8r= 9s`

Divide both the sides by 9.

`(8r)/(9)= (9s)/(9)`

`s=(8r)/(9)`

Hence, the value of the equation for s is
`s=(8r)/(9)`.

Answer 2

the answer is 8r/9

2r = 5s/2 - s/4

2r = 10s/4 - s/4

2r = 9s/4

4 x 2r = 9s/4 x 4

8r = 9s

8r/9 = s