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Question 579073: Solveing systems by graphing: X=y+7 , y=x+7. Is this infinitely more solutions? I'm not sure if you can help me with this thanks
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! If you take equation 1, which is x=y+7, and solve for y, you'll get
x=y+7
0 = y+7 - x
-y = 7 - x
y = -7 + x
y = x - 7
Now compare this with equation 2) y = x+7
The slopes are equal to 1, but the y-intercepts are different.
This suggests that the two lines are parallel and will never cross or intersect each other.
So this is an inconsistent system.
Therefore, there are no solutions.
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