Respuesta :

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

Answer:

The value of the equation for s is [tex]s=\frac{8r}{9}[/tex].

Step-by-step explanation:

Consider the provided equation.

[tex]2r= \frac{5s}{2} - \frac{s}{4}[/tex]

We need to solve the equation for s.

Add the like terms.

[tex]2r= \frac{10s-s}{4}[/tex]

[tex]2r= \frac{9s}{4}[/tex]

Multiply both the sides by 4.

[tex]2r\times 4= 9s[/tex]

[tex]8r= 9s[/tex]

Divide both the sides by 9.

[tex]\frac{8r}{9}= \frac{9s}{9}[/tex]

[tex]s=\frac{8r}{9}[/tex]

Hence, the value of the equation for s is [tex]s=\frac{8r}{9}[/tex].