A pair of linear equations in two variables, which has a solution, is called a consistent pair of linear equations. A pair of linear equations which are equivalent has infinitely many distinct common solutions. Such a pair is called a dependent pair of linear equations in two variables.What is a pair of linear equations? If two linear equations have the two same variables, they are called a pair of linear equations in two variables. Following is the most general form of linear equations: a1x + b1y + c1 = 0. a2x + b2y + c2 = 0.What is a linear equation in two variables Class 10? An equation that can be of the form ax + by + c = 0, where a, b and c are real numbers, and a and b are not both zero, is called a linear equation in two variables x and y.