Question

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

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


x+

y

Answer 1

To simplify the expression \((10x + 4y) + (7x + 9y)\), we first combine the like terms.

1. Combine the \(x\) terms:
\[
10x + 7x = 17x
\]

2. Combine the \(y\) terms:
\[
4y + 9y = 13y
\]

Putting it all together, the simplified expression is:
\[
17x + 13y
\]

Thus, the coefficients are:
- The coefficient of \(x\) is **17**.
- The coefficient of \(y\) is **13**.

So, the final answer is:
\[
17x + 13y
\]