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Stating that it is an equilateral triangle, we are told that all sides are equal.
This is another way of saying:

4x - y = 7
and
2x + 3y = 7

So this can be solved by eliminating one of those variables:
2x + 3y = 7
x = (7 - 3y) / 2

4((7 - 3y) / 2) - y = 7
14 - 7y = 7
y = 1

x = 2

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