Pair of Linear Equations in Two Variables – Notes

Graphical Method of Solution

The general form of a pair of a linear equations in two variables x and y are:

a₁x + b₁y + c₁ = 0 and a₂x + b₂y +c₂ =0

a₁, a₂, b₁, b₂, c₁, c₂ are all real numbers and a₁² + b₁² ¹0 and a₂² +b₂² ¹ 0

Solving a pair of linear equation graphically:

• Frame the pair of linear equations based on the problem
• Find ordered pair (x, y) satisfying the equations
• Plot the pints obtained on the graph to find the solutions

Consistent solution: a pair of linear equations having unique or infinite solutions.