1,092 bytes added
, 11:47, August 25, 2017
'''Simultaneous equations''' are finite [[set]]s of mathematical [[equations]] where the solution to the set of equations solves each individual equation. There are many different types of simultaneous equations, such as [[linear equations|linear simultaneous equations]] and [[differential equation|differential simultaneous equations]]. Sometimes there may be more than one solution for each [[variable]] and sometimes there may be no solution.
==Linear Simultaneous Equation==
{{main|Linear equations}}
The most simple type of simultaneous equations are linear. These are algebraic equations (they contain no [[derivative]]s) and linear as they only contain terms of the form ax, where a is a constant and x is one of the [[variable]]s (no [[exponential]]s or [[sine]]s etc.). An example of a system of linear equations is:
<math>
\begin{cases}
x + y = 5 \\
2x + 3y = 2
\end{cases}
</math>
They are the simplest type of simultaneous equation to solve and be solved using [[Gaussian elimination]]
==See also==
*[[Linear equations]]
[[Category:Mathematics]]
[[Category:Algebra]]