Pregunta
10. \( 7 q-3+q=2 \)
Ask by Schwartz Chang. in the United States
Jan 23,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\( q = \frac{5}{8} \) or \( q = 0.625 \)
Solución
To solve the equation:
\[ 7q - 3 + q = 2 \]
**Step 1: Combine Like Terms**
First, combine the terms that have the variable \( q \):
\[ 7q + q - 3 = 2 \]
\[ 8q - 3 = 2 \]
**Step 2: Isolate the Variable Term**
Next, add 3 to both sides of the equation to isolate the term with \( q \):
\[ 8q - 3 + 3 = 2 + 3 \]
\[ 8q = 5 \]
**Step 3: Solve for \( q \)**
Finally, divide both sides by 8 to solve for \( q \):
\[ q = \frac{5}{8} \]
\[ q = 0.625 \]
**Solution:**
\[ q = \frac{5}{8} \text{ or } q = 0.625 \]
Revisado y aprobado por el equipo de tutoría de UpStudy
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Simplifique esta solución Mind Expander
To solve the equation \( 7q - 3 + q = 2 \), let's combine like terms first. Adding \( 7q \) and \( q \) gives us \( 8q - 3 = 2 \). Next, we'll isolate \( 8q \) by adding 3 to both sides, resulting in \( 8q = 5 \). Finally, divide both sides by 8 to find \( q = \frac{5}{8} \). Keep in mind, when solving equations, it’s vital to maintain balance on both sides! One common mistake is forgetting to apply operations to both sides of the equation, leading to incorrect results. Always double-check your steps, and you’ll be solving equations like a pro!
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