To determine the expression for the sum of [tex]\(x\)[/tex] and [tex]\(y\)[/tex], we need to understand what it means to find the sum of two numbers.
The sum of two numbers is the result of adding those two numbers together. If we have two numbers, [tex]\(x\)[/tex] and [tex]\(y\)[/tex], then:
1. Option A: [tex]\(x + y\)[/tex]
- This is the mathematical expression for adding [tex]\(x\)[/tex] and [tex]\(y\)[/tex] together.
2. Option B: [tex]\(x - y\)[/tex]
- This represents the difference between [tex]\(x\)[/tex] and [tex]\(y\)[/tex], not their sum.
3. Option C: [tex]\(xy\)[/tex]
- This represents the product of [tex]\(x\)[/tex] and [tex]\(y\)[/tex], not their sum.
4. Option D: [tex]\(2xy\)[/tex]
- This represents twice the product of [tex]\(x\)[/tex] and [tex]\(y\)[/tex], not their sum.
5. Option E: [tex]\(y - x\)[/tex]
- This represents the difference between [tex]\(y\)[/tex] and [tex]\(x\)[/tex], not their sum.
The correct expression for the sum of [tex]\(x\)[/tex] and [tex]\(y\)[/tex] is given by option A, [tex]\(x + y\)[/tex]. Therefore, the correct answer is:
A) [tex]\(x + y\)[/tex]