SOLUTION: Non integer solutions are difficult to approximate from graphs so how would I find a solution to a system of y=3x and y=-3x+2

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Question 1049160: Non integer solutions are difficult to approximate from graphs so how would I find a solution to a system of
y=3x and y=-3x+2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y=3x......eq.1
y=-3x%2B2......eq.2
--------------------------------
substitute y from eq.1 in eq.2
3x=-3x%2B2......solve for x
3x%2B3x=-3x%2B3x%2B2
6x=2
x=2%2F6
highlight%28x=1%2F3%29
go back to eq.1,substitute x and solve for y
y=3%281%2F3%29
y=3%2F3
highlight%28y=1%29
so, given lines are intersecting at the point (1%2F3,1)