Pregunta
Solve for \( s \). Give an exact answer. \( 6 s-4=8\left(2+\frac{1}{4} s\right) \)
Ask by Salinas Elliott. in the United States
Jan 09,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( s = 5 \)
Solución
To solve the equation for \( s \):
\[
6s - 4 = 8\left(2 + \frac{1}{4}s\right)
\]
**Step 1: Distribute the 8 on the right side**
\[
6s - 4 = 8 \times 2 + 8 \times \frac{1}{4}s
\]
\[
6s - 4 = 16 + 2s
\]
**Step 2: Move all terms involving \( s \) to the left and constant terms to the right**
\[
6s - 2s = 16 + 4
\]
\[
4s = 20
\]
**Step 3: Solve for \( s \)**
\[
s = \frac{20}{4} = 5
\]
**Answer:**
\( s = 5 \)
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Simplifique esta solución Bonus Knowledge
To solve the equation \( 6s - 4 = 8\left(2 + \frac{1}{4}s\right) \), start by expanding the right side: \[ 8(2) + 8\left(\frac{1}{4}s\right) = 16 + 2s \] Now the equation becomes: \[ 6s - 4 = 16 + 2s \] Next, isolate \( s \) by first subtracting \( 2s \) from both sides: \[ 6s - 2s - 4 = 16 \] This simplifies to: \[ 4s - 4 = 16 \] Now, add 4 to both sides: \[ 4s = 20 \] Finally, divide by 4: \[ s = 5 \] Thus, the exact answer is: \[ s = 5 \]
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