Mathematics » Introducing Integers » Solve Equations Using Integers, The Division Property of Equality

Key Concepts

Key Concepts

  • How to determine whether a number is a solution to an equation.
    • Step 1. Substitute the number for the variable in the equation.
    • Step 2. Simplify the expressions on both sides of the equation.
    • Step 3. Determine whether the resulting equation is true.
      • If it is true, the number is a solution.
      • If it is not true, the number is not a solution.
  • Properties of Equalities
    Subtraction Property of EqualityAddition Property of Equality
    \(\text{For any numbers}\phantom{\rule{0.2em}{0ex}}a,b,c,\)



    \(\text{For any numbers}\phantom{\rule{0.2em}{0ex}}a,b,c,\)



  • Division Property of Equality
    • For any numbers \(a,b,c,\) and \(c\ne 0\)

      If \(a=b\), then \(\frac{a}{c}=\frac{b}{c}\).


Want to suggest a correction or an addition? Leave Feedback

[Attributions and Licenses]

This is a lesson from the tutorial, Introducing Integers and you are encouraged to log in or register, so that you can track your progress.

Log In

Do NOT follow this link or you will be banned from the site!