Question
Fill in the blanks with the correct coefficients when simplifying the expression.
(12x + 4y) + (5x + 12y)
__ x+ __ y
(12x + 4y) + (5x + 12y)
__ x+ __ y
Answers
GPT-4o mini
To simplify the expression \((12x + 4y) + (5x + 12y)\), we can combine like terms.
1. Combine the \(x\) terms:
\[
12x + 5x = 17x
\]
2. Combine the \(y\) terms:
\[
4y + 12y = 16y
\]
Putting it all together, we have:
\[
(12x + 4y) + (5x + 12y) = 17x + 16y
\]
So the expression can be filled in as:
\[
17 \quad \text{and} \quad 16
\]
Thus, the final answer is:
17 x + 16 y.
1. Combine the \(x\) terms:
\[
12x + 5x = 17x
\]
2. Combine the \(y\) terms:
\[
4y + 12y = 16y
\]
Putting it all together, we have:
\[
(12x + 4y) + (5x + 12y) = 17x + 16y
\]
So the expression can be filled in as:
\[
17 \quad \text{and} \quad 16
\]
Thus, the final answer is:
17 x + 16 y.