Absolutely, let's walk through the steps required to evaluate the expression [tex]\( 6x - y \)[/tex] for given values of [tex]\( x \)[/tex] and [tex]\( y \)[/tex].
1. Identify the given values:
- [tex]\( x = 3 \)[/tex]
- [tex]\( y = 2 \)[/tex]
2. Substitute the given values into the expression:
- Replace [tex]\( x \)[/tex] with 3.
- Replace [tex]\( y \)[/tex] with 2.
The expression [tex]\( 6x - y \)[/tex] becomes:
[tex]\[
6 \times 3 - 2
\][/tex]
3. Perform the multiplication:
- First, calculate [tex]\( 6 \times 3 \)[/tex]:
[tex]\[
6 \times 3 = 18
\][/tex]
4. Subtract [tex]\( y \)[/tex] from the result:
- Subtract 2 from 18:
[tex]\[
18 - 2 = 16
\][/tex]
Thus, the value of the expression [tex]\( 6x - y \)[/tex] when [tex]\( x = 3 \)[/tex] and [tex]\( y = 2 \)[/tex] is:
[tex]\[
16
\][/tex]