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**Sir William Rowan Hamilton** invented the linear equation in __1843__.

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William Rowan Hamilton invented or discovered Linear equation. Which these equation describe mechanics in three dimensional space.

Q: Who discovered linear equations?

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Equations are not linear when they are quadratic equations which are graphed in the form of a parabola

They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.

Most functions are not like linear equations.

Linear equations are a small minority of functions.

No, linear equations don't have x2. Equation with x and y are usually linear equations. Equations with either x2 or y2 (but never both) are usually quadratic equations.

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Arthur Cayley

It was the French mathematician Rene Descartes who created linear equations which are plotted on the Cartesian plane as straight lines.

A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.

All linear equations are functions but not all functions are linear equations.

There is no quadratic equation that is 'linear'. There are linear equations and quadratic equations. Linear equations are equations in which the degree of the variable is 1, and quadratic equations are those equations in which the degree of the variable is 2.

Equations are not linear when they are quadratic equations which are graphed in the form of a parabola

The answer will depend on what kinds of equations: there are linear equations, polynomials of various orders, algebraic equations, trigonometric equations, exponential ones and logarithmic ones. There are single equations, systems of linear equations, systems of linear and non-linear equations. There are also differential equations which are classified by order and by degree. There are also partial differential equations.

They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.

Linear equations are always functions.

Linear equations are a small minority of functions.

Most functions are not like linear equations.

Linear equations are a tiny subset of functions. Linear equations are simple, continuous functions.