What is a system of equations and how do we solve two at once?
Two Clues, One Answer
What is a system of equations and how do we solve two at once?
Imagine you're at a snack stand, and you overhear two clues. "Two pretzels and a juice cost five dollars." Then: "One pretzel and a juice cost three dollars." You don't know the price of a single pretzel — yet — but with two clues working together, you can figure it out. That's the whole magic of a system of equations: not one mystery, but two, that you crack at the same time.
An equation by itself is just a sentence with a missing piece. "Two pretzels and a juice cost five dollars" can hide as 2p + j = 5, where p is the price of one pretzel and j is the price of one juice. The letters aren't scary — they're just nicknames for the numbers we're hunting for.
