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mboorstin
 2 years ago
Best ResponseYou've already chosen the best response.1Usually, you have a single equation and a single variable (x+5=10). The only constraints we have on that variable come from that single equation. Sometimes, however, we have a more complicated system with multiple variables, but we also know more about it. In that case, we have 2 equations, each of which describe constraints about 2 variables and how they relate to each other. Think of them as existing at the same time (hence the name simultaneous). Then we solve both of them together to find both variables. If you're a graphical person, think of each equation as a line in space. When we have one variable, we're working in 1dimensional space (a line), and the equation tells us where on the number line our answer is. When we have two variables, we're working in 2dimensional space (a plane), and each equation is a line. Where they intersect is the ordered solution pair. You can obviously take this concept up to 3 or more variables, in 3space, 4space, etc.
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