Question 63061
QUESTION

Solve the following systems by graphing.
x - 2y = 8
3x - 2y = 12


ANSWER:

There are different methods to plot a graph.


One is give arbitrary values to any one of the variable and find corresponding values to  other.

Using these points plot the graph.


Second method is  rewrite the given equation in terms of x

That is 

x - 2y = 8 implies

2y = x- 8

==> y = x/2 - 4


similarly the second equation becomes,


 Y =  (3/2)x - 6


Now give arbitrary values to x in both these equations and find corresponding values of y.

And plot these values in the graph  paper.

then it comes like this,






{{{ graph( 700, 700, -6, 5, -10, 10, x/2-4, 3x/2-6) }}} 





The point of intersection of these two equations gives the solution.

Here solution is  x = 2 and  y = -4



Hope you understood the method.


Regards.

praseenakos@yahoo.co.in