CBSE Class 9 Maths Linear Equations in Two Variables
Formation of Linear EquationsAn equation of the form ax + by + c = 0, where a, b and c are real numbers, such that a and b are not both zero, is called a linear equation in two variables.
All linear equations of one variable can be converted into linear equations in two variables.
The unknowns in the linear equation can be represented by any letter but the convention is to use x and y as variables.
Solutions to Linear EquationsA solution of a linear equation in two variables is a pair of values, one for x and one for y that satisfy the given equation.
All linear equations in two variables have infinitely many solutions.
Every solution of a linear equation in two variables can be written in the form of an ordered pair (x, y)
If (p,r) is a solution of the linear equation ax + by + c = 0, then (r,p) may or may not be the solution of the linear equation.
Graphical RepresentationsTo solve a system of inequalities graphically we Draw the graphs of the linear equations obtained by replacing the signs of inequalities by equality.
Shade the region for each inequality.
Find the region common to all the inequalities , the required region is solution region