Question

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

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


___ x+___ y

Answer 1

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

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

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

Putting it all together, we have:
\[
19x + 18y
\]

Thus, the coefficients are:
\[
19 \text{ (for } x\text{)} \quad \text{and} \quad 18 \text{ (for } y\text{)}
\]

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