SOLUTION: Solve the system by graphing. x + 2y = 4 x + 2y = –2

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Question 90785: Solve the system by graphing.
x + 2y = 4
x + 2y = –2
Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
Question:

Solve the system by graphing.
x + 2y = 4
x + 2y = –2
Answer:


If you are doing it in a graph paper, what you have to do is,
Rewrite the given equations in terms of x as follows.
x + 2y = 4
==> y = +%281%2F2%29%284-x%29+ ------------(1)

x + 2y = –2
==> y = %281%2F2%29%28-2-x%29 -----------------(2)
Now put some arbitrary values for x in the (1) and (2) and find out the corresponding y values.

For(1), when x = 0, y = +%281%2F2%29%284-0%29+ = 2

when x = 1, y = +%281%2F2%29%284-1%29+ = 3%2F2 = 1.5

When x = 2, y = +%281%2F2%29%284-2%29+ = 2%2F2 = 1


Now plot this values on the graph paper.

Similarly find out x and y values for the second equation and plot the graph.


Then the graphs will come like this....







Here you can see that the lines are parallel...that means they do not have solutions.


Hope you found the explanation useful.


Regards.

Praseena.