SOLUTION: Solve the system by graphing. 3x – y = 1 3x – y = 2

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Question 90784: Solve the system by graphing.
3x – y = 1
3x – y = 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.
3x – y = 1
3x – y = 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.
3x – y = 1

==> y= 3x - 1 ------------(1)

3x – y = 2

==> y = 3x + 2 ------------(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 = 3*0 -1 = 0 - 1 = -1

when x = 1, y = 3 * 1 - 1 = 3 - 1 = 2

When x = 2, y = 3 * 2 - 1 = 6 - 1 = 5


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....


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C3x+-+1+%2C+3x+%2B+2+%29+




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


Hope you found the explanation useful.


Regards.

Praseena.