To find the value of the expression [tex]\(5y - z\)[/tex] when [tex]\(y = 5\)[/tex] and [tex]\(z = 7\)[/tex], we need to follow these steps:
1. Substitute the given values into the expression:
[tex]\[
5y - z
\][/tex]
Here, [tex]\(y = 5\)[/tex] and [tex]\(z = 7\)[/tex].
2. Replace [tex]\(y\)[/tex] with 5:
[tex]\[
5 \times 5 - z
\][/tex]
3. Perform the multiplication:
[tex]\[
25 - z
\][/tex]
4. Replace [tex]\(z\)[/tex] with 7:
[tex]\[
25 - 7
\][/tex]
5. Perform the subtraction:
[tex]\[
18
\][/tex]
Therefore, the value of the expression [tex]\(5y - z\)[/tex] when [tex]\(y = 5\)[/tex] and [tex]\(z = 7\)[/tex] is [tex]\(18\)[/tex].