(-4/5t+5/3s)+(-3-7/5s+2t)

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: (-4/5t + 5/3s) + (-3 - 7/5s + 2t).

Understanding the Expression

The expression contains variables, represented by the letters t and s, and constants, which are the numerical values. The expression also includes coefficients, the numbers multiplying the variables (e.g., -4/5 is the coefficient of t).

Simplifying the Expression

To simplify the expression, we'll follow these steps:

1. Remove the parentheses: Since we are adding the two expressions, the parentheses don't affect the order of operations. We can simply rewrite the expression without them: -4/5t + 5/3s - 3 - 7/5s + 2t

2. Combine like terms: Identify terms that have the same variable and exponent.

   • Combine the t terms: (-4/5t + 2t) = (2/5t)
   • Combine the s terms: (5/3s - 7/5s) = (-4/15s)
   • The constant term, -3, remains unchanged.

3. Write the simplified expression: The simplified expression is: 2/5t - 4/15s - 3

Conclusion

By following these steps, we have successfully simplified the expression (-4/5t + 5/3s) + (-3 - 7/5s + 2t) to 2/5t - 4/15s - 3. Simplifying expressions like this is a crucial skill in algebra, as it helps to make them easier to work with and understand.