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3x+y=7 and 3x-y=7

Get two points with substitution method
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          solving the first equation for y gives y=7-3x, putting this in the second gives 3x-(7-3x)=7 or 6x=14 and x=14/6 or 7/3. Putting this in either of the original equations gives y=0
So the solution is x=7/3. y=0