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

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

x+

y

1 answer

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

First, combine the \(x\) terms:

  • \(14x + 5x = 19x\)

Next, combine the \(y\) terms:

  • \(6y + 12y = 18y\)

Putting it all together, the simplified expression is: \[ 19x + 18y \]

So, the coefficients for \(x\) and \(y\) are:

  • \(19\) for \(x\)
  • \(18\) for \(y\)

Therefore, the filled in blanks are: 19 for \(x\) and 18 for \(y\).