-(x%2By-5).jpeg "(6x+3y+4)-(x+y-5)")
Simplifying the Expression (6x+3y+4)-(x+y-5)
This article will guide you through the process of simplifying the algebraic expression (6x+3y+4)-(x+y-5).
Understanding the Problem
We have two expressions enclosed in parentheses, with a subtraction sign in between them. Our goal is to combine like terms and arrive at a simplified form.
Step 1: Distribute the Negative Sign
The subtraction sign before the second set of parentheses indicates that we need to multiply each term inside the second parentheses by -1. This gives us:
(6x+3y+4) + (-1)(x+y-5)
Simplifying further:
(6x+3y+4) -x -y +5
Step 2: Combine Like Terms
Now, identify terms with the same variable and exponent. We have:
- x terms: 6x - x
- y terms: 3y - y
- Constant terms: 4 + 5
Combining these terms:
(6x - x) + (3y - y) + (4 + 5)
Step 3: Simplify
Performing the arithmetic:
5x + 2y + 9
Final Answer
The simplified form of the expression (6x+3y+4)-(x+y-5) is 5x + 2y + 9.