Single equation method | Single equation model | Example of single equation.

Single equation method : 
Single equation method
An equation has a single variable, that equation is called a single variable.
If the variable exponent of a variable equation is 1, then that equation is called a simple equation.
Example : a + 7 = 18
The value at which the variable satisfies the equation is called a unitary equation.

Examples of single equation :
1)  3a + 4 = 10
            3a = 10 - 4
            3a = 6
            a = 6 / 3
            a = 2
2) 4a + 1 = 9
           4a = 9 - 1
           4a = 8
           a = 8 / 4
           a = 2
3) 3b - 5 = 4
          3b = 4 + 5
          3b = 9
          b = 9 / 3
          b = 3
4) ( b / 110) - 60 = 240
         ( b / 110 ) = 240  + 60
         ( b / 110 ) = 300
          b = 300 × 110
          b = 33000
5) ( b / 40) + 60 = 70
          ( b / 40 ) = 70 - 60
          ( b / 40 ) = 10
           b = 10 × 40
           b = 400
6) 5a - 8 = 2 ( a - 1 )
         5a - 8 = 2a - 2
         5a - 2a = 8 - 2
         3a = 6
         a = 6 / 3
         a = 2
7) 6a - 1 = 3a + 2
       6a - 3a = 2 + 1
       3a = 3
       a = 3 / 3
       a = 1
8) Subtracting 2 from the triple of a number is equal to the addition of 5 to double that number. Find that number.

Ans. :
Suppose that number = a
Her triple = 3a
Subtraction by subtracting 2 from the triple = 3a - 2
Double the given number = 2a
The sum obtained by 5 in this double is = 2a + 5
Given that the above subtraction and addition are the same.
Desirable Equation : 3a - 2 = 2a + 5               
by solving this equation
3a - 2   = 2a + 5
3a - 2a = 5 + 2
a = 7
So that number is 7.
9) The sum of three consecutive numbers is 30, so what are those numbers?
Ans. :
A serial number is a natural number with a difference of 1.
Suppose, the smallest number of three = a.
The number of adjacent ones is = a + 1
Largest number = a + 2
the sum of the consecutive numbers is 30.
therefore,
a + ( a + 1 ) + ( a + 2 ) = 30
3a + 3 = 30
3a = 30 - 3
3a = 27
a = 27 / 3
a = 9.
therefore,
first number = 9
second number = 10
and large number = 11.


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