SOLUTION: 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

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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