Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for s. \\(\\frac{4s - 2}{7} = 6\\) \\(s = ?\\)

Question

solve for s.
\\(\frac{4s - 2}{7} = 6\\)
\\(s = ?\\)

Explanation:

Step1: Eliminate the denominator

Multiply both sides of the equation $\frac{4s - 2}{7}=6$ by 7 to get rid of the denominator. So we have $7\times\frac{4s - 2}{7}=6\times7$, which simplifies to $4s - 2 = 42$.

Step2: Isolate the term with s

Add 2 to both sides of the equation $4s - 2 = 42$. That gives $4s-2 + 2=42 + 2$, so $4s=44$.

Step3: Solve for s

Divide both sides of the equation $4s = 44$ by 4. So $\frac{4s}{4}=\frac{44}{4}$, which simplifies to $s = 11$.

Answer:

11