A pair of linear equations in two variables is said to form a system of simultaneous linear equations. The general form of a pair of linear equations in two variables x and y is:
a1x+ b1y + c1 =0
a2x+ b2y + c2 = 0,
are all real numbers and a12 + b12 ≠ 0, a22 + b22 ≠ 0
Any pair of values of x and y which satisfies the pair of equations a1x+ b1y + c1 =0, a2x+ b2y + c2 = 0 ,is called a solution. There are two methods: (i) Graphical Method, (ii) Algebraic Method, for finding the solution of pair of equations.
Let us discuss these two methods and find some important results about lines and solution.