SOLUTION: "determine the solution to the system of equations graphically y=_1/3x-2 x+3y=9"

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Question 678373: "determine the solution to the system of equations graphically y=_1/3x-2 x+3y=9"
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
y = %28-1%2F3%29x-2
y intercept is -2, plot (0, -2)
x intercept is when y = 0
0 = %28-1%2F3%29x+-+2
2 = -1%2F3x
-6 = x, so plot (-6,0)
Draw a line through the intercepts
...
x+3y = 9
3y = -x + 9
y = %28-1%2F3%29x+%2B+9%2F3
y = %28-1%2F3%29x+%2B+3
y intercept is 3, plot (0, 3)
x intercept is when y = 0
0 = %28-1%2F3%29x+%2B+3
-3 = -1%2F3x
9 = x, so plot (9,0)
Draw a line through the intercepts
...
Because they have the same slope there will be not solution.
The lines will never cross since they are parallel.
...
graph%28300%2C200%2C-10%2C12%2C-10%2C10%2C%28-1%2F3%29x-2%2C+%28-1%2F3%29x%2B3%29
...
To confrim algebraically, set equations equal to each other
%28-1%2F3%29x+-+2+=+%28-1%2F3%29x+%2B+3
%28-1%2F3%29x+%2B+%281%2F3%29x+-+2+=+3
-2%3C%3E3
The system is inconsistent.
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