To evaluate the expression [tex]\( x + 6y \)[/tex] when [tex]\( x = 7 \)[/tex] and [tex]\( y = 5 \)[/tex], follow these steps:
1. Substitute the given values into the expression:
[tex]\[
x + 6y \rightarrow 7 + 6(5)
\][/tex]
2. Perform the multiplication first (since multiplication has higher precedence than addition):
[tex]\[
6 \times 5 = 30
\][/tex]
3. Now add the result of the multiplication to the value of [tex]\( x \)[/tex]:
[tex]\[
7 + 30 = 37
\][/tex]
So, the value of the expression [tex]\( x + 6y \)[/tex] when [tex]\( x = 7 \)[/tex] and [tex]\( y = 5 \)[/tex] is [tex]\(\boxed{37}\)[/tex].