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What is the sum of (2x + 5y) + (3x - 4y)?

  1. 5x +y

  2. 5x - 3y

  3. 5x - y

  4. 8x + y

The correct answer is: 5x - y

The sum of (2x + 5y) and (3x - 4y) can be found by combining like terms. The coefficient of the x term is 2 + 3 = 5x, and the coefficient of the y term is 5 - 4 = 1y. Therefore, the expression can be simplified to 5x + 1y, or 5x - y. This means that option C is the correct answer. Option A, 5x + y, has the incorrect coefficient for the y term. Option B, 5x - 3y, has a different coefficient for the y term and also a constant term of 3y, which is not present in the original expression. Option D, 8x + y, has a different coefficient for the x term and also includes a constant term. These options do