Linear Equations Word Problems

Students, we have already learned about  Linear Equations in earlier sessions. Linear Equation problems are used to solve daily life problems. It is applicable to find the values of the unknown values. Here we are going to look at Linear equations Word Problems, which will help us to get the solution to the unknown values. This solution can be attained by forming proper equation by reading the statements given in the word problems. It is done by understanding the meaning of the words used to represent the mathematical operators in the given statements. Let us understand it more  clearly through some example:
Solve Equation:
Problem 1 : Five added to twice a number gives eleven. Find the number?
  Sol: Let us assume that the number is x.
Now As per the statement, twice a number represents two times a number means 2 * x
 And 5 added to  twice a number will be expressed as ( 2 * x ) + 5
 So finally the equation formed is as follows
        ( 2 * x ) + 5 = 11
 Now we proceed to solve the equation to find the value of x
      Subtracting 5 from both the sides we get
       ( 2 * x ) + 5 -5 = 11 -5
      ( 2 * x )  = 6
     or  x = 6 / 2
    or x = 3 Ans.
Problem 2: If 3 is subtracted from four times a number, gives 13. Find the number.
  Sol:  Let the number is y
        Four times a number is represented by 4 * y
        Further if 3 is subtracted from it , we get 4 * y  - 3
       Thus the equation takes the form:  (4*y ) - 3 = 13
      Now to solve the equation, we add 3 on both the sides and get:
         (4*y ) - 3 + 3 = 13 + 3
        (4*y )  = 16
        or y = 16 / 4
      or y = 4 Ans.

In upcoming posts we will discuss about Solving Linear Equations Examples and Base and Altitude. Visit our website for information on CBSE board papers of political science