Imagine you’re at a taco stand. You buy two tacos and one soda for $8. Your friend buys one taco and two sodas for $7. Your brain already knows the taco costs $3 and the soda costs $2—you just didn’t write it down. That’s it. Two equations, two unknowns, and now you have a superpower for splitting checks without rounding up like a hypocrite.
Even your phone does this when it figures out how long your battery will last vs. how long your bus will be late. Equations are just things we already guess, dressed up in fancy algebra clothes.