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

(18x+9y)+(2x+6y)

1 answer

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

  1. Group the \(x\) terms together: \[ 18x + 2x = (18 + 2)x = 20x \]

  2. Group the \(y\) terms together: \[ 9y + 6y = (9 + 6)y = 15y \]

Now, we combine the results: \[ (18x + 9y) + (2x + 6y) = 20x + 15y \]

Thus, the simplified expression is: \[ 20x + 15y \]

The coefficients when simplifying are:

  • For \(x\): 20
  • For \(y\): 15