Math Problem Statement

3x-2y+2x-7+5y

Solution

To simplify the expression 3x2y+2x7+5y3x - 2y + 2x - 7 + 5y, combine like terms:

  1. Group the xx-terms: 3x+2x=5x3x + 2x = 5x
  2. Group the yy-terms: 2y+5y=3y-2y + 5y = 3y
  3. Combine the constant term: 7-7

The simplified expression is:
5x+3y75x + 3y - 7

Would you like a detailed explanation of each step or have additional questions?


Here are 5 related questions you might find useful:

  1. How do you simplify expressions with more complex grouping, like 4x2+3x2x2+x4x^2 + 3x - 2x^2 + x?
  2. What are like terms, and why can only like terms be combined?
  3. How would you factorize an expression like 5x+3y75x + 3y - 7?
  4. Can you substitute values for xx and yy in 5x+3y75x + 3y - 7 to evaluate it?
  5. How do coefficients affect the combination of terms in algebra?

Tip: Always identify and group like terms to simplify algebraic expressions efficiently!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Simplification of Algebraic Expressions

Formulas

Combining like terms in the form ax + bx = (a+b)x

Theorems

Associative Property of Addition
Commutative Property of Addition

Suitable Grade Level

Grades 6-8