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.