DESIGN AND IMPLEMENTATION OF COMPUTER SOFTWARE FOR THE SOLUTION OF LINEAR EQUATION . A RESEARCH PROJECT MATERIAL ON COMPUTER SCIENCE

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DESIGN AND IMPLEMENTATION OF COMPUTER SOFTWARE FOR THE SOLUTION OF LINEAR EQUATION . A RESEARCH PROJECT MATERIAL ON COMPUTER SCIENCE

ABSTRACT

Life’s circumstances are mathematical in nature. It is therefore clear that answers to such circumstances are obtainable through mathematical processes. Hence this can be achieved if form of mathematical equations and finding the appropriate methods of solving such problem (equation).

Linear equation is just an algebraic expression in which certain constants must be summed up, divided or multiplied to find a variable (unknown value) in the expression.

Hence designing software for the solution of linear equation makes the system (software) more timely, more accurate and easy to report generation, which makes the system to which they are applied efficient.

The primary aim of this study is to develop a software (computerize) for the solution of linear equation.

CHAPTER ONE

1.0       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/

 

For (5) C  = 41/

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

 

1.1       STATEMENT OF THE PROBLEM

            Solving linear equation may sometimes involve rigorous calculation and approximation of numbers. The use of parenthesis (Brackets), negative signs can make solving linear equation very lengthy and may sometimes be confiding to the human mind at a certain point. Hence this has made the solution so labourious and an uphill task if it must be correctly applied as a solution system.

 

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DESIGN AND IMPLEMENTATION OF COMPUTER SOFTWARE FOR THE SOLUTION OF LINEAR EQUATION . A RESEARCH PROJECT MATERIAL ON COMPUTER SCIENCE

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