Question

c=(s+b/3)m solve for s

halp

Answer 1

Answer:

see explanation

Step-by-step explanation:

Given

c = (s + $\frac{b}{3}$) m

There are 2 possible approaches

Approach 1

Divide both sides by m

$\frac{c}{m}$ = s + $\frac{b}{3}$

Multiply both sides by 3 to clear the fraction

$\frac{3c}{m}$ = 3s + b ( subtract b from both sides )

$\frac{3c}{m}$ - b = 3s ( divide both sides by 3 )

$\frac{3c}{3m}$ - $\frac{b}{3}$ = s, cancelling the factor 3 gives

s = $\frac{c}{m}$ - $\frac{b}{3}$

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Approach 2

Distribute the right side by m

c = ms + $\frac{bm}{3}$

Multiply through by 3 to clear the fraction

3c = 3ms + bm ( subtract bm from both sides )

3c - bm = 3ms ( divide both sides by 3m )

$\frac{3c}{3m}$ - $\frac{bm}{3m}$ = s, thus

s = $\frac{c}{m}$ - $\frac{b}{3}$