DESIGN AND IMPLEMENTATION OF A COMPUTER SOFTWARE FOR THE SOLUTION OF LINEAR EQUATION

INTRODUCTION: The mathematical nature of life circumstances has triggered off the research methodology in mankind, in his usual inquisitive nature to find and adduce various methods and techniques for solving life’s problems. This is achieved by reducing life’s activities to mathematical equation in linear forms to make it possible to handle the numerous variables of life.

Before proceeding let’s consider the basic definition of linear equation.

A liners equation is an algebraic equation or expression, which is in the first-degree order i.e. the highest power that it can attain, is to an indent of 1. Linear equation usually take the form A x B  = C, where A, B, C are all constants (known values) and X is the variable (unknown value) to be found.

Often a linear equation may contain many variable so that we may have AX1 + AX2 + AX2 -------  + A x N = B, here each a is called the constant and the co-efficient of X, where X = X1, X2 ---- XN, also each X need not be equal to each other.

When we have this sort of equation we call it Linear equation for examples:

(1) 2X  =  3

(2) 7M  = 8 + 5M

(3) 4 + 3X  = 17

(4) 4 – 4X  = 9  - 12X

(5) 3 (4C –7) –4 (4C – 1)  = 0

Solution for (1) takes the usual form X = 3/2

For (2) we may write m = 4. i.e 7m  - 5m = 8  

2m  = 8, m  = 8/2  = 4

For (3) X  = 41/3  or 4. 333, in this case

3X = 17 – 4, 3  x  = 13

    X  = 13/3  =  41/3 

For (4) X  = 5/8, that is to say

4 – 4X + 12X  = 9  - 4

8X  = 5

X  = 5/8  

 

For (5) C  = 41/4  

3 (4C  - 7) – 4  (4C – 1)  = 0

Remove brackets

12C  - 21 – 16C  + 4  = 0

-4C – 17  = 0

Divide both ides by – 4

C  = 17/4,  =  -  41/4