Question 144106
This is what I did but I don't think its right and If it is, i don't know where to go from there to get the other points. 
x=2-7y
5(2-7y) + 6y=1
10-35y + 6y=1
-29y= -9
y= 9/29 or 0.310344828 
x=2-7(9/29)
x= -5/29 or -0.172413793
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YOU ARE CORRECT
I graphed it with a graphing calculator.
Your x,y values are the point of intersection.
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Cheers,
Stan H.