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Solve for the unknown in the equation \( 6 A+3 A=36 \)

Ask by Williams Reid. in the United States
Jan 24,2025

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Answer

\( A = 4 \)

Solution

To solve the equation \(6A + 3A = 36\) for the unknown \(A\), follow these steps: 1. **Combine Like Terms:** The left side of the equation has two terms that both contain \(A\). You can combine them by adding their coefficients. \[ 6A + 3A = (6 + 3)A = 9A \] So, the equation simplifies to: \[ 9A = 36 \] 2. **Solve for \(A\):** To isolate \(A\), divide both sides of the equation by 9: \[ \frac{9A}{9} = \frac{36}{9} \] Simplifying both sides gives: \[ A = 4 \] 3. **Conclusion:** The value of the unknown \(A\) is **4**.

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To solve for the unknown \( A \) in the equation \( 6A + 3A = 36 \), first combine the \( A \) terms on the left side: \( (6 + 3)A = 36 \) This simplifies to \( 9A = 36 \). Now, divide both sides by 9 to isolate \( A \): \( A = \frac{36}{9} = 4 \). So, the value of \( A \) is 4! Now, here's a fun fact: equations like this are often used in everyday situations, such as calculating budgets or splitting bills! The principle of balancing equations can help you make sense of financial decisions and personal finance management. Moreover, a common mistake when dealing with such equations is forgetting to combine like terms. Always check your work step by step to avoid simple slip-ups, which can lead you off track! Keeping an eye on the little things makes a big difference in the long run.

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