Pregunta
3. \( 4 a+3-a=12 \)
Ask by Gordon Simmons. in the United States
Jan 23,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\( a = 3 \)
Solución
To solve the equation \( 4a + 3 - a = 12 \) for \( a \), follow these steps:
1. **Combine Like Terms:**
Start by combining the terms that have the variable \( a \):
\[
4a - a + 3 = 12
\]
\[
3a + 3 = 12
\]
2. **Isolate the Term with \( a \):**
Subtract 3 from both sides of the equation to move the constant term to the other side:
\[
3a + 3 - 3 = 12 - 3
\]
\[
3a = 9
\]
3. **Solve for \( a \):**
Divide both sides of the equation by 3 to solve for \( a \):
\[
\frac{3a}{3} = \frac{9}{3}
\]
\[
a = 3
\]
**Solution:** \( a = 3 \)
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Simplifique esta solución Bonus Knowledge
To solve the equation \( 4a + 3 - a = 12 \), first, combine the like terms on the left side. This simplifies to \( 3a + 3 = 12 \). Then, subtract 3 from both sides to isolate the term with \( a \): \( 3a = 9 \). Finally, divide by 3 to find \( a = 3 \). Voila! You’ve unlocked the value of \( a \). Now, think about how this simple equation might relate to budget planning. Have you ever needed to figure out how much you can spend after accounting for some fixed costs? This algebraic process mirrors how you balance your income against expenses to reach a financial goal, making it a practical skill for everyday life!
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