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:

  1. 534+3x+5y-5 - 3 - 4 + 3x + 5y
  2. 8+4+3x+5y-8 + 4 + 3x + 5y

Steps to simplify:

  1. Group the like terms from both expressions:

    • Combine constants: (534)(-5 - 3 - 4) and (8+4)(-8 + 4)
    • Combine the terms with xx: (+3x+3x)(+3x + 3x)
    • Combine the terms with yy: (+5y+5y)(+5y + 5y)
  2. Simplify each group:

    • Constants: 534=12-5 - 3 - 4 = -12 and 8+4=4-8 + 4 = -4
    • xx-terms: 3x+3x=6x3x + 3x = 6x
    • yy-terms: 5y+5y=10y5y + 5y = 10y
  3. Result after combining: 124+6x+10y-12 - 4 + 6x + 10y

  4. Final simplified result: 16+6x+10y-16 + 6x + 10y

The simplified expression is: 16+6x+10y\boxed{-16 + 6x + 10y}.

Would you like more details or have any questions?


Here are 5 related questions:

  1. How do you combine like terms with variables?
  2. Can constants be combined with variables?
  3. What happens if you have more than two terms with the same variable?
  4. What are the steps for simplifying polynomials with multiple variables?
  5. How does distributive property relate to combining like terms?

Tip: Always organize your terms by variable and degree before simplifying to avoid errors.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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