https://file.aiquickdraw.com/mathbot/file/1726369822082fvi5yx1y.jpg

The equation in the image is:

\[
\frac{q}{3} + 16.3 = 19.23
\]

Let's solve for \( q \):

1. First, subtract 16.3 from both sides:

\[
\frac{q}{3} = 19.23 - 16.3
\]

\[
\frac{q}{3} = 2.93
\]

2. Now, multiply both sides by 3 to isolate \( q \):

\[
q = 2.93 \times 3
\]

\[
q = 8.79
\]

Thus, the value of \( q \) is **8.79**.

Would you like further details or have any questions?

Here are five related questions to explore further:

1. How do you isolate variables in linear equations with fractions?
2. What are the steps to check your solution in an equation like this?
3. How can you solve similar equations with multiple variables?
4. How does solving this equation differ if you had decimals on both sides from the start?
5. What strategies can help when dealing with more complex fractions in algebra?

**Tip:** Always check your final answer by substituting it back into the original equation to ensure it's correct.

Learn how to solve the linear equation q/3 + 16.3 = 19.23 step-by-step. This problem demonstrates basic algebraic techniques, including isolating variables and solving equations with fractions. Suitable for students in Grades 6-8.

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