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what is called an equation that contains more than one variable?
Multivariable equation
What is the term for an equation with more than variable?
An equation with more than one variable is called a multivariate equation.
What is an equation that expresses a relationship between more than one variable?
a formula
Why is it helpful to draw a picture when attempting to solve an equation?
It helps to visualize the problem and to think better about the way(s) you're going to solve it. After you draw a picture, you place there the known information, and denote by a letter the unknown(s). Since you've organized everything on the picture, it's easier to relate things with each other by using the knowledge of geometry. For example, if the equation contains more than one variable, you can express the variable for which you want to solve the equation in terms of other variable(s) (the geometric formulas are very handy).
Which is the best way to solve the equation?
That depends on the equation. In general, you'll try to isolate the variable, by using operations (on both sides of the equation) that get rid of anything other than the variable, on the side the variable is on.
