Question

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

Answer 1

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 2

Answer:

The value of the equation for s is $s=\frac{8r}{9}$.

Step-by-step explanation:

Consider the provided equation.

$2r= \frac{5s}{2} - \frac{s}{4}$

We need to solve the equation for s.

Add the like terms.

$2r= \frac{10s-s}{4}$

$2r= \frac{9s}{4}$

Multiply both the sides by 4.

$2r\times 4= 9s$

$8r= 9s$

Divide both the sides by 9.

$\frac{8r}{9}= \frac{9s}{9}$

$s=\frac{8r}{9}$

Hence, the value of the equation for s is $s=\frac{8r}{9}$.