Fill in the blanks with the correct coefficients when simplifying the expression.

Question

(12x + 4y) + (5x + 12y)
__ x+ __ y

Answer 1

To simplify the expression $(12x+4y)+(5x+12y)$, we can combine like terms.

1. Combine the $x$ terms: $$12x+5x=17x$$

2. Combine the $y$ terms: $$4y+12y=16y$$

Putting it all together, we have: $$(12x+4y)+(5x+12y)=17x+16y$$

So the expression can be filled in as: $$17\text{and}16$$

Thus, the final answer is: 17 x + 16 y.