Simultaneous equations are a system of equations carrying multiple variables.
Any set of equations that have to be solved together or simultaneously to get the value of unknown quantities which are true for each participating equations and will have unique values are better known as simultaneous equations.

Generally the solution of a system of equations is a particular value of all the variables that fulfills all the equations simultaneously(at the same time).
The standard form of system of linear equations in two variables x and y is:
a1 x + b1 y + c1 = 0
a2 x + b2 y + c2 = 0
Where a1,b1,c1,a2,b2 and c2 are all real numbers.

## What are Simultaneous Equations

Equations which are carrying out more than one variable are generally known as simultaneous equations. There are three algebraic methods to solve the linear system of equations or simultaneous equations like
a1 x + b1 y + c1 = 0
a2 x + b2 y + c2 = 0 are
(1) Elimination method
(2) Substitution method
(3) Cross - multiplication method.

The graphical method probably would not show the most accurate solution for the system of linear equations. Particularly, when the point corresponding to the solution having non-integral ordered-pairs like ( $\sqrt{5}$, $\sqrt{7}$ ) or ($\frac{2}{3}$, $\frac{6}{7}$)

### Gaussian Elimination

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