%2B(2y-3.5)%2B(-1%2F4x%2B5)-find-the-sum.jpeg "(7/4x-5)+(2y-3.5)+(-1/4x+5) Find The Sum")
Simplifying and Finding the Sum of an Algebraic Expression
This article will guide you through the steps of simplifying and finding the sum of the following algebraic expression:
(7/4x - 5) + (2y - 3.5) + (-1/4x + 5)
Step 1: Identify Like Terms
Like terms are terms that have the same variable and exponent. In our expression, we have the following like terms:
- x terms: (7/4x) and (-1/4x)
- Constant terms: (-5), (-3.5) and (5)
y term: (2y) is the only term with the variable 'y'.
Step 2: Combine Like Terms
To combine like terms, we simply add or subtract their coefficients:
- x terms: (7/4x) + (-1/4x) = (6/4x) = (3/2x)
- Constant terms: (-5) + (-3.5) + (5) = -3.5
Step 3: Write the Simplified Expression
Now, we can write the simplified expression by combining the like terms:
(3/2x) + (2y) - 3.5
Conclusion
The sum of the expression (7/4x - 5) + (2y - 3.5) + (-1/4x + 5) is (3/2x) + (2y) - 3.5. This is the simplified form of the expression, where like terms have been combined.