Graphical method for Linear equations
Graphical method is used to find the solution of linear equations in two variables.Example on solving equation by graphical method
x – y = 1
2x + y = 8
First, solve each equation for "y =" Or change each equation in y = mx + b form.
x  y = 1  x = x  y  x + 1  =  1 1 y = x  1 Slope = m = 1 y intercept = 1 
2x + y = 8 2x =  2x  y =  2x + 8 Slope = m = 2 y intercept = 8 
After converting the equations in y = mx + b form, prepare a function table. Take any values of x, put that values one by one in the given equation and find the value of y. From this we get (x, y ) coordinates.







= 1 


= 8 


= 0 


= 2 + 8 = 6 


= 2 


= 2 + 8 = 10 


= 2 


=  6 + 8 = 2 

Now, plot the points (x, y ) for a given lines and join them. The intersection point of these two lines will be the solution.
Check: Since the two lines cross at (3,2), the solution is x = 3 and y = 2.Checking these value shows that this answer is correct. Plug these values into the ORIGINAL equations and get a true result. x  y = 1 2x + y = 8 (3)  2 = 1 2(3)+ 2 = 8 1 = 1( check) 6 + 2 =8 8 = 8(check) 
Linear equation in two variables
• Solving linear equation by graphical method.
• Substitution method.
• Solving system of equation by elimination method
• Cross multiplication method or Cramer’s rule