SOLUTION: Solve the system by graphing. x – y = 2 3x – 3y = 6 Solve the system by graphing. x + 2y = 4 x + 2y = –2 I have tried with these two I am so confused I don't kn

Algebra ->  Linear-equations -> SOLUTION: Solve the system by graphing. x – y = 2 3x – 3y = 6 Solve the system by graphing. x + 2y = 4 x + 2y = –2 I have tried with these two I am so confused I don't kn      Log On


   

Question 49315: Solve the system by graphing.
x – y = 2
3x – 3y = 6

Solve the system by graphing.
x + 2y = 4
x + 2y = –2
I have tried with these two I am so confused I don't know who I am someone please help
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by graphing:
1) x-y = 2
2) 3x-3y = 6
It simplifies things if you first put both equations into the "slope-intercept" form.
1a) y = x-2
2a) 3y = 3x-6 Divide both sides by 2
2b) y = x-2
As you can now see, the two equations are identical and you would expect them to produce the same line when graphed, right? Let's see if that's true!
graph%28300%2C200%2C-5%2C5%2C-5%2C5%2Cx-2%29
graph%28300%2C200%2C-5%2C5%2C-5%2C5%2Cx-2%29
I made two different graphs because you would not be able to see both lines on a single graph.
Now, how do you interpret the results?
Since the two equations produce the same line, any value of x that satisfies one equation will also satisfy the other equation. In other words, since the two lines do not intersect, there is no single point (x, y) that satisfies both equations.
There are infinitely many solutions.