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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:

a_{1}x+ b_{1}y + c_{1 }=0

a_{2}x+ b_{2}y + c_{2} = 0,

where a_{1,}b_{1,}c_{1,}a_{2,}b_{2,}c_{2,}

are all real numbers and a_{1}^{2 }+^{ }b_{1}^{2} ≠ 0, a_{2}^{2 }+^{ }b_{2}^{2} ≠ 0

Any pair of values of *x* and *y* which satisfies the pair of equations _{a1x+ b1y + c1 =0, }a_{2}x+ b_{2}y + c_{2} = 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.

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