Question 464971
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A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable.

Linear equations can have one or more variables. Linear equations occur with great regularity in applied mathematics.


Examples of linear equations:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ 3\ =\ 0]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ 3x\ -\ 5]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ Ax\ +\ By\ =\ C]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \alpha_1x_1\ +\ \alpha_2x_2\ +\ \cdots\ +\ \alpha_nx_n\ =\ \beta]


Examples of non-linear equations:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ 5x\ -\ 4\ =\ 0]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ xy\ =\ 1]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{1}{1\ -\ x}\ =\ 5]



John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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