Solve the formula for the indicated variable.
Given: [tex]b = rw + r[/tex]
Solve for [tex]w[/tex].
Solution: [tex]w = \frac{b - r}{r}[/tex]
Answer (2)
b = rw+ r
Factor the right side:
b = r (w + 1)
Divide each side by ' r ' :
b/r = w + 1
Subtract 1 from each side:
b/r - 1 = w
To solve for w in the equation b = r w + r , we isolate w by factoring and dividing by r and subtracting 1. The final solution is w = r b − r . This method demonstrates the importance of managing each term carefully to isolate the desired variable.
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