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Equations - Lesson Summary

A mathematical statement that indicates that the value of the LHS is equal to the value of the RHS is called an equation.

An equation puts a condition on the variable. The value for which the equation is satisfied is the solution of the equation.
e.g. The equation n 15  = 3 is satified for n = 45.

The value of the variable in an equation that satisfies the equation, or makes its LHS equal to its RHS, is the solution. An equation can contain numbers and variables. 
e.g. a - 2 = 30 ⇒ a = 32.

An equation is said to be an algebraic equation if it consists of a variable. 
e.g. 20x = 400.

A single variable equation will have a unique solution.
e.g. 15n = 225.

An equation that does not have any variable is called a numerical or an arithmetic equation. 
e.g. 17 × 2 = 34.

Different numerical values for the variable are substituted in an algebraic equation, and the solution is obtained by using a method called the trial and error method. If there is no sign of equality between the LHS and the RHS, then it is not an equation.


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