Sure, let's evaluate the expression [tex]\( 5c - 3d + 11 \)[/tex] for given values [tex]\( c = 7 \)[/tex] and [tex]\( d = 8 \)[/tex].
1. Substitute the given values into the expression:
[tex]\[
5(7) - 3(8) + 11
\][/tex]
2. First, evaluate the multiplication:
[tex]\[
5 \times 7 = 35
\][/tex]
[tex]\[
3 \times 8 = 24
\][/tex]
3. Now, substitute these results back into the expression:
[tex]\[
35 - 24 + 11
\][/tex]
4. Next, perform the subtraction:
[tex]\[
35 - 24 = 11
\][/tex]
5. Finally, add the remaining terms:
[tex]\[
11 + 11 = 22
\][/tex]
So, the value of the expression [tex]\( 5c - 3d + 11 \)[/tex] when [tex]\( c = 7 \)[/tex] and [tex]\( d = 8 \)[/tex] is [tex]\( 22 \)[/tex].
