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Simplify: 3x+5y+2x-3y

Mathematics

ScanSolve AI Answer

Step-by-step solution

4 steps

To simplify the expression 3x+5y+2x−3y3x+5y+2x-3y, we need to combine like terms. Like terms are terms that have the same variables raised to the same power.

  1. Group the like terms together.

    (3x+2x)+(5y−3y)(3x + 2x) + (5y - 3y)
  2. Combine the coefficients of the xx terms.

    (3+2)x=5x(3+2)x = 5x
  3. Combine the coefficients of the yy terms.

    (5−3)y=2y(5-3)y = 2y
  4. Write the simplified expression by combining the results from Step 2 and Step 3.

    5x+2y5x + 2y

    Comparing this result with the given options:
    A. 5x+2y5x+2y
    B. 5x+8y5x+8y
    C. x+2yx+2y
    D. 6xy6xy

    The simplified expression matches option A.

    The final answer is A. 5x+2y\boxed{\text{A. } 5x+2y}.

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