(2 points) Fill in the blanks with the correct coefficients when simplifying the expression. (18x+9y)+(2x+6y) %C2%A0x+ y

1 answer

To simplify the expression \((18x + 9y) + (2x + 6y)\), we first combine like terms.

  1. Combine the \(x\) terms:

    • \(18x + 2x = 20x\)
  2. Combine the \(y\) terms:

    • \(9y + 6y = 15y\)

Putting it all together, we get: \[ 20x + 15y \]

So, when simplified, the expression is \(20x + 15y\).

Thus, the coefficients are:

  • For \(x\), the coefficient is 20.
  • For \(y\), the coefficient is 15.

Final answer: \[ 20x + 15y \]