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

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Question 63061This question is from textbook
: Solve the following systems by graphing.
x - 2y = 8
3x - 2y = 12
This question is from textbook

Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
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%28+700%2C+700%2C+-6%2C+5%2C+-10%2C+10%2C+x%2F2-4%2C+3x%2F2-6%29+




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