SOLUTION: Can you explain how 9x-7y=-7. Comes out to X=1. Y = 16/7?

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Question 1130988: Can you explain how 9x-7y=-7. Comes out to X=1. Y = 16/7?
Found 2 solutions by rothauserc, Edwin McCravy:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
ask your question this way, is point (1, 16/7) on the line 9x -7y = -7?
:
rewrite the given equation in point slope form
:
7y = 9x +7
:
y = 9x/7 +1
:
substitute 1 for x and 16/7 for y
:
16/7 = 9(1)/7 +1
:
Note that 7/7 = 1
:
16/7 = 9/7 +7/7
:
16/7 = 16/7
:
therefore the point (1, 16/7) is on the line 9x -7y = -7
:

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
9x-7y=-7 doesn't do anything called "come out x=1. y=16/7'.

You see, 9x-7y=-7 is ALGEBRA for this graphed line of GEOMETRY,
and the only thing that can be said about "x=1 and "y=16/7" is
that if you substitute 1 for x in 9x-7y=-7 you will get y = 16/7.

   9x - 7y = -7
 9(1) - 7y = -7
    9 - 7y = -7
   -9        -9
---------------
       -7y = -16
   %28-7y%29%2F%28-7%29%22%22=%22%22%28-16%29%2F%28-7%29
         y = 16%2F7 

And what that means is that the point (1, 16/7) is one of the 
points on the line which has 1 as its x coordinate and 16/7 as 
its y-coordinate:






Edwin