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

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (7/4x-5)+(2y-3.5)+(-1/4x+5)

This article will guide you through simplifying the given expression: (7/4x-5)+(2y-3.5)+(-1/4x+5).

Step 1: Identify Like Terms

The first step is to identify the like terms in the expression. Like terms are terms that have the same variable and exponent. In our expression, we have:

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

Step 2: Combine Like Terms

Now, we combine the like terms together:

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

Step 3: Write the Simplified Expression

Finally, we combine the simplified terms to get the simplified expression:

(3/2)x + 2y - 3.5

Therefore, the simplified form of the expression (7/4x-5)+(2y-3.5)+(-1/4x+5) is (3/2)x + 2y - 3.5.