LINEAR QUATIONS www.mathguide.org

LINEAR EQUATION LINEAR EQUATION A statement of equality which involves literals / variables is called equation. An equation in which the highest degree of the variable is one is called linear equation.

LINEAR EQUATION IN ONE VARIABLE If only one variable is involved, then it is called linear equation in one variable. An equation of the form ax+b=c, where a,b,c are numbers, a≠0 and ‘x’ is a variable Value of ‘x’ which satisfies the equation is called

LINEAR EQUATION IN TWO VARIABLES A linear equation with two variables is called linear equation in two variable say x and y but the highest degree of each variable is one. Linear equation of the form ax+by+c=0 is called linear equation in two variables. Pair of values, one for x and one for y which satisfies the equation is called the solution or roots of linear equation in two variables. Linear equation in two variables represent a straight line on the graph with x and y as coordinates of the point (say P) on the line. x is called abscissa and y is called ordinate of P

Linear equation in two variables has infinite many solutions. Points to remember: Linear equation in two variables has infinite many solutions. The graph of ax+by+c = 0 is a straight line By common solution of pair linear equations in two variables (or simultaneous equations) we mean a pair of value, one for x and one for y, which satisfy both the equations. If equations have a unique solution, then the equations intersect in a single point. If the equations have no solution, then the lines are said to be parallel. If equations have infinitely many solutions, then the lines are said to be coincident.