Pregunta
To solve the equation \( 6 x+3=9 \) for \( x \), what operations must be performed on both sides of the equation tin order to isolate the variable \( x \) ? a.) Dividing by 9 then subtracting 3 b) Subtracting 3 then dividing by 6 c) Adding 3 then dividing by 9 d.) Multiplying by 6 then adding 3
Ask by Morrison Sandoval. in the United States
Jan 26,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
To solve \( 6x + 3 = 9 \), subtract 3 from both sides and then divide by 6. So, the correct choice is b) Subtracting 3 then dividing by 6.
Solución
To solve the equation \( 6x + 3 = 9 \) for \( x \), follow these steps:
1. **Subtract 3 from both sides** of the equation to isolate the term with \( x \):
\[
6x + 3 - 3 = 9 - 3 \implies 6x = 6
\]
2. **Divide both sides by 6** to solve for \( x \):
\[
\frac{6x}{6} = \frac{6}{6} \implies x = 1
\]
Therefore, the correct sequence of operations is:
**b) Subtracting 3 then dividing by 6**
**Answer:**
Option b) Subtracting 3 then dividing by 6
Revisado y aprobado por el equipo de tutoría de UpStudy
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Beyond the Answer
To solve the equation \( 6x + 3 = 9 \), you’ll want to isolate \( x \) step by step. First, you would subtract 3 from both sides to get \( 6x = 6 \), and then divide both sides by 6, which gives you \( x = 1 \). The correct operation sequence is option b) Subtracting 3 then dividing by 6, making it the way to isolate \( x \)! This keeps everything nice and tidy, just like cleaning up your room before a big party!
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