Simultaneous Equations - A Simple Example

A Simple Example

This is a set of linear equations, also known as a linear system of equations:

\begin{cases} 2x + y = 8\\ x + y = 6 \end{cases}

Solving this involves subtracting x + y = 6 from 2x + y = 8 (using the elimination method) to remove the y-variable, then simplifying the resulting equation to find the value of x, then substituting the x-value into either equation to find y.

The solution of this system is:

\begin{cases} x = 2\\ y = 4 \end{cases}

which can also be written as an ordered pair (2, 4), representing on a graph the coordinates of the point of intersection of the two lines represented by the equations.

Read more about this topic:  Simultaneous Equations

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