Answer: [1/5x-4+2y]+[2/5x+5-4y] simplifies to 3/5x - 2y + 1.
Explanation:
To simplify the given expression, we need to combine like terms.
The like terms are the ones with the same variable parts.
Let's first simplify the expression inside the brackets separately:
[1/5x-4+2y] = 1/5x + 2y - 4
[2/5x+5-4y] = 2/5x - 4y + 5
Now, we can combine the simplified expressions:
[1/5x + 2y - 4] + [2/5x - 4y + 5]
= 1/5x + 2y - 4 + 2/5x - 4y + 5
= (1/5 + 2/5)x + (2y - 4y) - 4 + 5
= 3/5x - 2y + 1
Therefore, [1/5x-4+2y]+[2/5x+5-4y] simplifies to 3/5x - 2y + 1.