We also explained the basic operations like addition, subtraction, multiplication and division on literal numbers.
We also Explained about Algebraic Expression. We saw with examples, how to find the value of an Algebraic Expression by substituting the given values to the variables involved.
That knowledge is a prerequisite here.
Here, we consider an Algebraic Expression with "=" symbol.
We also discuss the set of values, the variable(s) can take (replacement set) and the values out of the replacement set that make the algebraic expression equal to the R.H.S. of the "=" symbol.
Equation : Math Equations
Before answering the question what is an equation ? we need to know about certain terminology.
Mathematical Sentence : Math Equations
We have seen that the combination of terms, obtained by the operation of '+' or '-' or both is called an Algebraic Expression.
If the terms are only numerical (without literals), the expression is called numerical expression. e.g. 9 + 4, 6 - 3, 15 + 7 - 2, are numerical expressions.
If a numerical expression and a number or two numerical expressions are joined or connected by ' is equal to' ( = ) or 'is greater than' ( > ) or 'is less than' ( < ) etc,they are called Mathematical Sentences.
An Open Sentence containing the sign ' is equal to' ( = )is called an Equation.
In the above examples, example (i) is an equation. Note that every Equation has two sides, namely 'Left Hand Side' (L.H.S.) and 'Right Hand Side' (R.H.S.). Thus, in the equation x + 3 = 9, L.H.S. is x + 3 and R.H.S. is 9.
Solution or Root of an Equation : Math Equations
A number which when replaced for the variable of an equation makes the resulting statement true. i.e., makes its L.H.S. is equal toits R.H.S. is said to satisfy the equation. A number which thus satisfiesan equation is called a Solution or a Root of the equation.
Solving Equations, Domain of the Variable, Examples
For lucid explanation of the basics of Solving Equations and the concept of Domain of the variable with Examples, and for Links to Solving Linear, Quadratic, Cubic and Bi-Quadratic Equations, go to
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