What is pair of linear equations in two variables
Answers
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Two linear equations in the same two variables are called a pair of linear equations in two variables.
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It is an equation in the form of two variables. Usually x and y.
E.g. 5x+7y=0
x+y=7
They are of three types. They are either consistent, either dependent or inconsistent.
They are classified on basis of graph they make. First of all when a pair of equations intersect with two line they are consistent. They have only one solution.
Secondly, if a pair of equations are coincident line then they are called dependent. Such pair has infinite solutions.
Thirdly, if a pair of equations on graph do not intersect each other , that is they are parallel then it is called inconsistent. They have no solution.
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