Vahan Sagdejian


Definition: An equation is an algebraic statement that two expressions are equal. An equation consists of:
  • a left-hand-side expression ,
  • a right-hand-side expression, and
  • an equal sign between them

Examples and Explainations

Here are three examples:
  • 5 + 3 = 8

  • 5 + 3 = 9

  • x + 4 = 10
The first example is an equation that is always true; 5 plus 3 always equals 8. This is also known as an identity. The second example is an equation that is never true; 5 plus 3 never equals 9. This is also known as a contradiction. The third example is known as a conditional equation. It is only true under the condition that the variable , x, equals 6 since only 6 plus 4 equals 10. No other value of x makes the equation true. In this book we are primarily interested in conditional equations.
Algebra Basics: Solving Basic Equations Part 1 - Math Antics


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