6a - 11 = 13
Understand the Problem
The question is asking to solve the equation 6a - 11 = 13 for the variable a. This involves isolating a on one side of the equation.
Answer
$a = 4$
Answer for screen readers
The final answer is $a = 4$.
Steps to Solve
- Add 11 to both sides
To isolate the term with $a$, we first need to eliminate the constant on the left side. We do this by adding 11 to both sides of the equation:
$$ 6a - 11 + 11 = 13 + 11 $$
This simplifies to:
$$ 6a = 24 $$
- Divide both sides by 6
Now that we have isolated the variable term, we need to solve for $a$. We do this by dividing both sides of the equation by 6:
$$ \frac{6a}{6} = \frac{24}{6} $$
This simplifies to:
$$ a = 4 $$
The final answer is $a = 4$.
More Information
This result means that when $a$ is 4, the original equation $6a - 11 = 13$ holds true. It's a simple linear equation solving process.
Tips
- Not performing the same operation on both sides: When adding or subtracting from both sides, always ensure you perform the same operation to keep the equation balanced.
- Forgetting to isolate the variable: It’s crucial to focus on isolating the variable you’re solving for within the steps.
AI-generated content may contain errors. Please verify critical information
