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

Algebra.Com
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)   (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,










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












RELATED QUESTIONS

solve each of the following systems by graphing x-2y=8... (answered by venugopalramana)
Solve the following systems by graphing. x - 2y = 8 3x - 2y =... (answered by bucky)
Solve each of the following systems by graphing. x - 2y = 8 3x - 2y =... (answered by elima)
Solve each of the following systems by graphing. x-2y=8 3x-2y=12 (answered by jim_thompson5910)
Solve each of the following systems by graphing x – 2y = 8 and 3x – 2y =... (answered by checkley75)
Can you help me solve the following systems by graphing x - 2y = 8 3x - 2y = 12 (answered by stanbon)
Solve each of the following systems by graphing. x-2y=8... (answered by doukungfoo)
Solve each of the following systems by graphing. x-2y=8... (answered by HyperBrain)
Solve each of the following systems by graphing. x-2y=8... (answered by Fombitz,Edwin McCravy)