To evaluate the expression [tex]\(3 + 11t - 9u\)[/tex] given [tex]\(t = 9\)[/tex] and [tex]\(u = 11\)[/tex], follow these steps:
1. Substitute the values of [tex]\(t\)[/tex] and [tex]\(u\)[/tex] into the expression:
[tex]\[
3 + 11t - 9u \rightarrow 3 + 11(9) - 9(11)
\][/tex]
2. Evaluate the multiplication operations within the expression:
[tex]\[
11 \times 9 = 99 \quad \text{and} \quad 9 \times 11 = 99
\][/tex]
So, the expression now looks like:
[tex]\[
3 + 99 - 99
\][/tex]
3. Perform the addition and subtraction:
[tex]\[
3 + 99 = 102 \quad \text{and then} \quad 102 - 99 = 3
\][/tex]
Therefore, the value of the expression [tex]\(3 + 11t - 9u\)[/tex] when [tex]\(t = 9\)[/tex] and [tex]\(u = 11\)[/tex] is [tex]\(\boxed{3}\)[/tex].
