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An equation which can be put in the form
is called a linear equation in two variables
and
where a, b and c are real numbers and a and b are not both zero.
Here a and b are called coefficients of x and y respectively and c is called constant term.
The equation is called linear because the equation is of the first degree.
A solution is an ordered pair of real numbers which satisfies the equation.
In general, any linear equation in two variables will have infinitely many solutions.