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

Question

(10x+4y)+(7x+9y)
_______x+_________y

Answer 1

To simplify the expression $(10x+4y)+(7x+9y)$, you need to combine like terms.

1. For the $x$ terms: $$10x+7x=17x$$

2. For the $y$ terms: $$4y+9y=13y$$

So, the expression simplifies to: $$17x+13y$$

Therefore, the coefficients are:

• For $x$: 17
• For $y$: 13

Final answer: 17 and 13.