What is the simplified expression of 4x + 9y - 2x + 3y?

What is the simplified expression of 4x + 9y - 2x + 3y?

• A. 2x + 12y
• B. 6x + 12y
• C. 2x + 6y
• D. 4x + 12y

Answer: (A)

To simplify the expression 4x + 9y - 2x + 3y, the first step is to group together the like terms. In this expression, the terms involving 'x' are 4x and -2x, and the terms involving 'y' are 9y and 3y. When you combine the like terms for 'x': 4x - 2x equals 2x. Next, combine the like terms for 'y': 9y + 3y equals 12y. Putting it all together, the simplified expression is 2x + 12y. Therefore, the correct answer is indeed 2x + 12y, which corresponds to the correct choice. This transformation demonstrates the fundamental principle of combining like terms, ensuring that we accurately simplify algebraic expressions.

To simplify the expression 4x + 9y - 2x + 3y, the first step is to group together the like terms. In this expression, the terms involving 'x' are 4x and -2x, and the terms involving 'y' are 9y and 3y.

When you combine the like terms for 'x':

4x - 2x equals 2x.

Next, combine the like terms for 'y':

9y + 3y equals 12y.

Putting it all together, the simplified expression is 2x + 12y. Therefore, the correct answer is indeed 2x + 12y, which corresponds to the correct choice. This transformation demonstrates the fundamental principle of combining like terms, ensuring that we accurately simplify algebraic expressions.