Question

Define a pair of linear equation in two variables with examples.​

Answer 1

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Answer 2

Defination : A pair of linear equations in two variables is said to form a system of simultaneous linear equations in two variables.

The form of a pair of linear equations is :

$\sf a_{1}x + b_{1}y + c_{1} = 0 \\ \sf a_{2}x + b_{2}y + c_{2} = 0$

Where a, b and c are real numbers.

More details about pair of linear equation :

• The solution of a linear equation is a pair of values, one for x and one for y. This pair of values is called Ordered pair.

• A pair of values of x and y satisfying each of the equations in the given system of two simultaneous equations in x and y is called a solution of the system.

• A pair of linear equations will have either (a) a unique solution or (b) infinitely many solutions or (c) no solution.