(7/4x-5)+(2y-3.5)+(-1/4x+5)=

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions: A Step-by-Step Guide

This article will guide you through the process of simplifying the algebraic expression:

(7/4x - 5) + (2y - 3.5) + (-1/4x + 5)

Understanding the Concepts

Before we begin, let's refresh our understanding of a few key concepts:

• Terms: Parts of an expression separated by addition or subtraction signs.
• Like Terms: Terms with the same variable and exponent (e.g., 7x and -1/4x are like terms).
• Combining Like Terms: We can simplify an expression by combining like terms. This involves adding or subtracting their coefficients.

Simplifying the Expression

1. Identify Like Terms:

   • x terms: 7/4x and -1/4x
   • y terms: 2y
   • Constant terms: -5, -3.5, and 5

2. Combine Like Terms:

   • x terms: (7/4x) + (-1/4x) = 6/4x = 3/2x
   • y terms: 2y
   • Constant terms: -5 + (-3.5) + 5 = -3.5

3. Write the Simplified Expression: The simplified expression is: 3/2x + 2y - 3.5

Conclusion

By following these simple steps, we have successfully simplified the given expression. Remember, the key is to identify like terms and combine them appropriately. This process can be applied to any algebraic expression, helping you simplify and solve problems with greater ease.