Skip Navigation Links
Algebra1: Solving a System of Equations which is Reducible to a System of Simultaneous Linear Equations
To enroll in any of our courses, click here
Solving a System of Equations which is Reducible to a System of Simultaneous Linear Equations
Simultaneous equations are a set of equations containing multiple variables. This set is often referred to as a system of equations. A solution to a system of equations is a particular specification of the values of all variables that simultaneously satisfies all of the equations.
People who saw this lesson also found the
following lessons useful:
Selection of Terms In an A.P.
Common Tangents of Two Circles
Angles In Alternate Segments
Area of Two Similar Triangle
Pythagoras Theorem
Example: Solve:1/(2x) - 1/y = -1,
1/x + 1/(2y) = 8,
where x 0, y 0
Solution: Taking 1/x = u and 1/y = v, then given equations become:
u/2 - v = -1 => u - 2v = -2 ...(i)
u + v / 2 = 8 => 2u + v = 16 ...(ii)
Let us eliminate u from equations (i) and (ii). Multiplying equation (i) by 2, you get
2u - 4v = -4 ...(iii)
2u+ v = 16 ...(iv)
Subtracting (iv) from (iii), you get:
-5v = -20 => v = 4
Putting v = 4 in equation (i), you get
Hence x = 1/u = 1/6 and y = 1/v = 1/4
So, the solution of the given system of equation is x = 1/6, y = 1/4.
As many of you know, Winpossible's online courses use a unique teaching method where an instructor explains the concepts in any given area to you in his/her own voice and handwriting, just like you see your teacher explain things to you on a blackboard in your classroom. All our courses include teacher's instruction, practice questions as well as end-of-lesson quizzes for practice. You can enroll in any of our online courses by clicking here.

The format of Winpossible's online courses is also very suitable for teachers who are using an interactive whiteboard such as Smartboard on Promethean in their classrooms, because the course lessons can be easily displayed on such interactive whiteboards. Volume pricing is available for schools interested in our online courses. For more information, please contact us at

 Copyright © Winpossible, 2010 - 2011
Best viewed in 1024x768 & IE 5.0 or later version