Solving Systems of Equations with example

Introduction:
A system of equations is a collection of more than one equations with a same set of unknowns.
In solving a system of equations, can we try to find values of each of the unknowns that will clarify the every equation in the system.
The equations in the system can be linear and non-linear. This tutorial reviews is systems of linear equations.
The problem can be expressed in the narrative form or the problem can be expressed in algebraic format.

Example for system of equations:

Solve the following system:
x + y = 11
3x - y = 5  
Solution: Solve the first equation for y (you could solve for x - it doesn't matter)
  y = 11 - x
Now, substitute 11 - x for y in the second equation. This gives the equation one variable, which earlier algebra work has taught
you how to do.
3x - (11 - x) = 5
3x - 11 + x = 5
4x = 16
x=4
Now, substitute 4 for x in
either equation and solve for y.
(We use the first equation below.)
4 + y = 11
y = 7
The solution is the ordered pair,(4, 7).

Hope you like the above example, Please leave your comments, if you have any doubts.