(2x-5y+2)+(5x+6y-7)

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions: (2x-5y+2)+(5x+6y-7)

This article will guide you through the process of simplifying the algebraic expression (2x-5y+2)+(5x+6y-7).

Understanding the Basics

Before we begin, let's review some fundamental concepts:

• Terms: Individual parts of an expression separated by addition or subtraction signs. In our example, the terms are 2x, -5y, 2, 5x, 6y, and -7.
• Like terms: Terms that have the same variable and exponent. For instance, 2x and 5x are like terms, as are -5y and 6y.
• Combining like terms: We can simplify expressions by combining like terms. This involves adding or subtracting their coefficients.

Simplifying the Expression

1. Identify like terms:

   • x terms: 2x and 5x
   • y terms: -5y and 6y
   • Constant terms: 2 and -7

2. Combine like terms:

   • x terms: 2x + 5x = 7x
   • y terms: -5y + 6y = y
   • Constant terms: 2 - 7 = -5

3. Write the simplified expression: The simplified expression is 7x + y - 5.

Conclusion

By applying the principles of combining like terms, we successfully simplified the expression (2x-5y+2)+(5x+6y-7) to 7x + y - 5. Remember, the key to simplifying algebraic expressions is to identify and combine like terms effectively.