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[itex]x + y = 32[/itex]

[itex]3x + 2y = 70[/itex]

Each equation represents a graph, and the solution is the point where the two lines intersect.

Here is where I am confused:

[itex]x + y = 32[/itex]

[itex]2x + 2y = 64[/itex]

What is the proof that the two equations are equivalent / represent the same graph?

I read that two equations are equivalent if they share the same implication:

Thanks for help.Equivalent equations are ones such that the truth of one implies and is implied by the truth of the other.