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(2 points)

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

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

__ x+__ y

1 answer

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

  1. For \(x\) terms: \(10x + 7x = 17x\)
  2. For \(y\) terms: \(4y + 9y = 13y\)

So, the simplified expression is:

\[ 17x + 13y \]

The coefficients are:

17 for \(x\) and 13 for \(y\).

Thus, the answer is:

17 x + 13 y