Math Problem Statement

what is equation

Solution

An equation is a mathematical statement that asserts the equality of two expressions. It consists of two sides, separated by an equal sign (=), indicating that both sides have the same value.

For example, in the equation:

2x+3=72x + 3 = 7

  • The left side is 2x+32x + 3.
  • The right side is 77.
  • The equation is true if both sides have the same value for some value of xx. In this case, x=2x = 2 makes the equation true.

Equations can involve numbers, variables (like xx, yy), and operations (like addition, multiplication). Solving an equation means finding the value(s) of the variable(s) that make the equation true.

Would you like a more detailed explanation or any examples?


Here are five related questions:

  1. What is the difference between an equation and an inequality?
  2. How do you solve linear equations with one variable?
  3. What is a quadratic equation, and how is it solved?
  4. How can systems of equations be solved using substitution or elimination methods?
  5. What is the role of equations in real-world problem-solving?

Tip: Always check your solution by substituting it back into the original equation!

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Math Problem Analysis

Mathematical Concepts

Algebra
Equations

Formulas

General form of equation: ax + b = c

Theorems

Equality principle

Suitable Grade Level

Grades 6-8