Answer:
[tex]s=\frac{8r}{9}[/tex]
Step-by-step explanation:
The given equation is
[tex]2r=\frac{5s}{2}-\frac{s}{4}[/tex]
We need to solve this equation for s.
Simplify the right side of the equation.
Taking LCD on right side of the equation we get
[tex]2r=\frac{2(5s)-s}{4}[/tex]
[tex]2r=\frac{10s-s}{4}[/tex]
[tex]2r=\frac{9s}{4}[/tex]
Multiply both sides by 4.
[tex]2r\times 4=\frac{9s}{4}\times 4[/tex]
[tex]8r=9s[/tex]
Divide both sides by 9.
[tex]\frac{8r}{9}=s[/tex]
Interchange the sides.
[tex]s=\frac{8r}{9}[/tex]
Therefore, the value of s is [tex]s=\frac{8r}{9}[/tex].
