Pregunta
\begin{tabular}{l} Solve for \( v \). \\ \( \qquad 3 v-17=5(v-1) \) \\ Simplify your answer as much as possible. \\ \( \qquad v=\square \) \\ \hline\( \frac{\square}{\square} \) \\ \hline\end{tabular}
Ask by Hardy Fowler. in the United States
Jan 29,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\( v = -6 \)
Solución
\[
\begin{tabular}{l}
Solve for \( v \). \\
\( \qquad 3 v - 17 = 5(v - 1) \) \\
Simplify your answer as much as possible. \\
\( \qquad v = -6 \) \\
\hline
\( \frac{-6}{1} \) \\
\hline
\end{tabular}
\]
**Solution Steps:**
1. Start with the equation:
\[
3v - 17 = 5(v - 1)
\]
2. Expand the right side:
\[
3v - 17 = 5v - 5
\]
3. Subtract \(3v\) from both sides:
\[
-17 = 2v - 5
\]
4. Add \(5\) to both sides:
\[
-12 = 2v
\]
5. Divide both sides by \(2\):
\[
v = -6
\]
6. Express \(v\) as a fraction:
\[
v = \frac{-6}{1}
\]
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Simplifique esta solución The Deep Dive
To solve for \( v \) in the equation \( 3v - 17 = 5(v - 1) \), let's first expand the right side: 1. Distribute \( 5 \) on the right: \( 5(v - 1) = 5v - 5 \) Now we have: \( 3v - 17 = 5v - 5 \) 2. Next, let's isolate \( v \) by getting all \( v \) terms on one side and constant terms on the other. Subtract \( 3v \) from both sides: \( -17 = 5v - 3v - 5 \) This simplifies to: \( -17 = 2v - 5 \) 3. Now, add \( 5 \) to both sides: \( -17 + 5 = 2v \) \( -12 = 2v \) 4. Finally, divide both sides by \( 2 \): \( v = -6 \) So our solution is: \( v = -6 \) Fill in the blanks: \( v = -6 \) \( \frac{-6}{1} \)
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