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The expression given is:

\[
9x + 3y + 6
\]

We are asked to evaluate it when \( x = 4 \) and \( y = 5 \).

1. Substitute \( x = 4 \) and \( y = 5 \) into the expression:

\[
9(4) + 3(5) + 6
\]

2. Perform the multiplication:

\[
36 + 15 + 6
\]

3. Add the results:

\[
36 + 15 = 51
\]
\[
51 + 6 = 57
\]

Therefore, the value of the expression is **57**.

Would you like more details or have any questions?

Here are some related questions to deepen understanding:
1. What happens if we change the value of \(x\) to 6 and \(y\) to 2?
2. How can we express this equation in terms of a function of \(x\) and \(y\)?
3. What is the effect of increasing \(y\) by 1 on the result of the expression?
4. Can we factorize the expression \(9x + 3y + 6\)?
5. How would you solve the equation if the total were given as 57 and you needed to find \(x\)?

**Tip:** Always check if variables can be simplified before substituting values to avoid mistakes.

Find the value of the expression when x = 4 and y = 5: 9x + 3y + 6

Learn how to evaluate the algebraic expression 9x + 3y + 6 with given values x=4 and y=5. Step-by-step solution for students in Grades 6-8.

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