Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for s. y = sb - sc³ the solution is s = \\square.

Question

solve for s.
y = sb - sc³
the solution is s = \square.

Explanation:

Step1: Factor out s

We can factor out \( s \) from the right - hand side of the equation \( y = sb - sc^{3} \). Using the distributive property of multiplication over subtraction (i.e., \( ab - ac=a(b - c) \)), we get \( y=s(b - c^{3}) \).

Step2: Solve for s

To solve for \( s \), we divide both sides of the equation \( y=s(b - c^{3}) \) by \( (b - c^{3}) \) (assuming \( b
eq c^{3} \), otherwise the equation would either have no solution or be undefined for non - zero \( y \)). So, \( s=\frac{y}{b - c^{3}} \).

Answer:

\(\frac{y}{b - c^{3}}\)