K B Dave
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How to Write Steps of Solving Equations?
3 votes

If I had to communicate the solution to this problem to someone else in writing, I'd probably write ...gives $$4x+7=6x+2\text{.}$$ Subtracting $6x$ from both sides of this equation gives $$-...

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"Real world" examples of implicit functions
3 votes

Probably the simplest algebraic examples of what you're looking for are given by the elliptic curves. In Weierstrass, Jacobian quartic, and Jacobian intersection form (respectively) such curves are ...

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