Final answer:
To solve the expression 1/2 (2/3x + 4y) - 1/6 (2x + 6y), simplify each term within the parentheses and combine like terms to get the answer as 1/3x + 1/3y.
Step-by-step explanation:
To solve the expression: 1/2 (2/3x + 4y) - 1/6 (2x + 6y)
- Simplify each term within the parentheses:
- 1/2 (2/3x) becomes x/3
- 1/2 (4y) becomes 2y
- -1/6 (2x) becomes -x/3
- -1/6 (6y) becomes -y
Combine like terms:
- x/3 - x/3 is 0
- 2y - y is y
Therefore, the simplified expression is 0 + y, which can be written as:
Answer: 1/3x + 1/3y