k/6 + 8 = 5
Understand the Problem
The question is asking us to solve for the variable k in the equation k/6 + 8 = 5. To do this, we will isolate k by performing algebraic operations.
Answer
The value of $k$ is $-18$.
Answer for screen readers
The value of $k$ is $-18$.
Steps to Solve
- Subtract 8 from both sides
To isolate the term containing $k$, subtract 8 from both sides of the equation:
$$ \frac{k}{6} + 8 - 8 = 5 - 8 $$
This simplifies to:
$$ \frac{k}{6} = -3 $$
- Multiply both sides by 6
Next, to eliminate the fraction, multiply both sides by 6:
$$ 6 \times \frac{k}{6} = -3 \times 6 $$
This simplifies to:
$$ k = -18 $$
The value of $k$ is $-18$.
More Information
Isolating variables is a common technique in algebra. By performing inverse operations, you can simplify and solve equations. Here, we used subtraction and multiplication to isolate $k$.
Tips
- A common mistake is to forget to perform the same operation on both sides of the equation, leading to incorrect results. Always be sure to apply the operations uniformly.
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