Certainly! Let’s solve the given algebraic expression step-by-step.
### Step-by-Step Solution
1. Identify and Note the Given Expression:
The expression to be evaluated is:
[tex]\( 5x - 2y \)[/tex]
2. Substitute the Values:
In this scenario, we need to substitute [tex]\( x = 1 \)[/tex] and [tex]\( y = 1 \)[/tex] into the expression. So the expression now becomes:
[tex]\( 5(1) - 2(1) \)[/tex]
3. Perform the Multiplication:
- [tex]\( 5(1) \)[/tex] equals 5.
- [tex]\( 2(1) \)[/tex] equals 2.
4. Simplify the Expression:
Substitute the results of the multiplications back into the expression:
[tex]\( 5 - 2 \)[/tex]
5. Perform the Subtraction:
[tex]\( 5 - 2 \)[/tex] yields 3.
Thus, the value of the expression [tex]\( 5x - 2y \)[/tex] when [tex]\( x = 1 \)[/tex] and [tex]\( y = 1 \)[/tex] is [tex]\( 3 \)[/tex].
So, the final answer is:
[tex]\[
3
\][/tex]
