posted by kirthana .
solve 4x-3y-6=0; x+3y-9=0 graphically
A graphical solution would be achieved by plotting both lines on an x-y graph and seeing where they interesect.
We lack the tools to do graphing for you.
By adding the two equations you can eliminate the y variable and see immediatley that
5x - 15 = 0
x = 3
Then use either of your equations for y.
12 - 3y = 6
3y = 6
y = 2