(2 points) Fill in the blanks with the correct coefficients when simplifying the expression. (14x+6y)+(5x+12y) %C2%A0x+ y

Answer 1

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

1. Combine the \(x\) terms:

   • \(14x + 5x = 19x\)

2. Combine the \(y\) terms:

   • \(6y + 12y = 18y\)

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

So, the final answer is: \[ 19 ; \text{and} ; 18 \]

Thus, the coefficients are 19 (for \(x\)) and 18 (for \(y\)).