Solving by Elimination Method

What is a linear equation? Equation is a collection of terms, which contains the combination of variables and numbers to represent the certain values. Sometimes linear equation can be described as a statement of variables to represent the particular values in the mathematics. As we know that mathematics provides lots of tools like method, formulas, theorem and rules. We will discuss about Solving by Elimination Method for the equations which having more than two unknown variables. In the general aspect we include the problem, which is given below:
x + y = 13        (1)
x – y = -5         (2)
The above are the equation, in which we can see that there are two equations containing two unknown variables x and y. If we determine the values of above two unknown variables x and y, which are consider as a true value for equation (1) and (2) then we can say that equation as a simultaneous  equations. To solve the simultaneous equation, we generally makes the value of one unknown variable same in both equation by adding or subtracting the variable to form new equation, which contain only one variable. After that obtain the value of one variable is easy to find. This whole process is known as Elimination Method.
 Here we show you how to solve the equation by example:
Example: Solve the equation by elimination method of following equations?
                         4y + 3x = 9
                         3y - 3x = 5
Solution: first we give label to both given equations:
                         4y + 3x = 9         (1)
                         3y - 3x = 5       (2)
Now we add the equation (1) and (2) in the same manner:
            4y + 3x + 3y - 3x = 9 + 5         (here +3y and -3y are cancelled to each other)
                         7y  = 14
                            y = 14/ 7
                            y = 2

In upcoming posts we will discuss about Solving by Substitution Method and Right Triangle. Visit our website for information on higher secondary education Karnataka