Math Problem Statement
Simplify the expressions -5 - 3 - 4 + 3x + 5y and -8 + 4 + 3x + 5y by combining like terms.
Solution
The image contains two algebraic expressions that need to be simplified by combining like terms.
The expressions are:
Steps to simplify:
-
Group the like terms from both expressions:
- Combine constants: and
- Combine the terms with :
- Combine the terms with :
-
Simplify each group:
- Constants: and
- -terms:
- -terms:
-
Result after combining:
-
Final simplified result:
The simplified expression is: .
Would you like more details or have any questions?
Here are 5 related questions:
- How do you combine like terms with variables?
- Can constants be combined with variables?
- What happens if you have more than two terms with the same variable?
- What are the steps for simplifying polynomials with multiple variables?
- How does distributive property relate to combining like terms?
Tip: Always organize your terms by variable and degree before simplifying to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Algebra
Combining Like Terms
Formulas
a + b = c
x + x = 2x
y + y = 2y
Theorems
Combining Like Terms
Suitable Grade Level
Grades 7-9