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

Question

(14x+6y)+(5x+12y)

_x+_y

Answer 1

To simplify the expression \((14x + 6y) + (5x + 12y)\), we can combine like terms.

1. Combine the \(x\) terms: \[ 14x + 5x = 19x \]

2. Combine the \(y\) terms: \[ 6y + 12y = 18y \]

Now, we can write the simplified expression as: \[ 19x + 18y \]

So, the coefficients are:

• For \(x\): 19
• For \(y\): 18

Thus, filling in the blanks: 19 x + 18 y