Pair of Linear Equations in Two Variables Class 10 PPT

 Page 2


WHAT IS LINEAR EQUATION?
An equation between two variables 
that gives a straight line when 
plotted on a graph.
Page 3


WHAT IS LINEAR EQUATION?
An equation between two variables 
that gives a straight line when 
plotted on a graph.
WHAT IS LINEAR EQUATION IN TWO VARIABLE?
A linear equation in two variables is an equation with 
two variables (usually called x and y) where the 
variables are at most multiplied by a number, and 
added to something else. No exponents, no variables in 
denominators, no fancy functions of the variables.
For example 2x-y=3 and x+y=3 are linear equations.
Page 4


WHAT IS LINEAR EQUATION?
An equation between two variables 
that gives a straight line when 
plotted on a graph.
WHAT IS LINEAR EQUATION IN TWO VARIABLE?
A linear equation in two variables is an equation with 
two variables (usually called x and y) where the 
variables are at most multiplied by a number, and 
added to something else. No exponents, no variables in 
denominators, no fancy functions of the variables.
For example 2x-y=3 and x+y=3 are linear equations.
GRAPH OF LINEAR EQUATION IN TWO VARIABLE
Page 5


WHAT IS LINEAR EQUATION?
An equation between two variables 
that gives a straight line when 
plotted on a graph.
WHAT IS LINEAR EQUATION IN TWO VARIABLE?
A linear equation in two variables is an equation with 
two variables (usually called x and y) where the 
variables are at most multiplied by a number, and 
added to something else. No exponents, no variables in 
denominators, no fancy functions of the variables.
For example 2x-y=3 and x+y=3 are linear equations.
GRAPH OF LINEAR EQUATION IN TWO VARIABLE
TYPES OF SOLUTIONS OF SYSTEMS OF EQUATIONS
• One solution – the lines cross at one point
• No solution – the lines do not cross
• Infinitely many solutions – the lines coincide