You can put this solution on YOUR website! :Solving the system by graphing
x-6y=6
y = (x-6)/6 = (1/6)x - 1
If x = 0, y = -1 gives you point (0,-1)
If x = 6, y = 0 gives you point (6,0)
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Plot those two points and draw a line thru them to see the graph.
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-x+y=4
y = x + 4
If x = 0, y = 4 gives you point (0,4)
If x = 2, y = 6 gives you point (2,6)
Plot those and draw a line thru them.
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Find the point of intersection::
(1/6)x-1 = x+4
(5/6)x = -5
x = -6 ; y = -2
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Cheers,
Stan H.
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