Solving Double Sided Equations

Introduction to double sided equations:

Equations are the important topic in algebra.  Generally an equation contains two parts.  They are left hand side part and right hand side part.  When both left hand side and right hand sides of the equation is equal then only we can say that is an equation. It is mentioned with the help of an ‘=’ equal sign. In this article we have to learn about how to solving the equation that variables are presented in double sides. I like to share this solving equations with variables on both sides with you all through my article.

Example 1 for Solving Double Sided Equations:

Solving the following double sided equation 18 u - 36 = 6u - 24

Solution:

The given double sided equation is 18 u - 36 = 6u - 24

Adding 36 on both sides then we have to get the following equation,

18 u - 36 + 36 = 6u - 24 + 36

Simplifying this we have to get the following equation,

18 u = 6u + 12

Now we have to subtract the value 6u on both sides, we can get

18 u - 6u = 6u + 12 - 6u

Simplifying this we have to get the following equation,

12u = 12

Now we have to divide the value 12 on both sides, we can get the value for the variable ‘u’

That is u = 1

This is the value of the variable of the given double sided equation. Looking out for more help on Binary Operation in algebra by visiting listed websites.

Example 2 for Solving Double Sided Equations:

Solving the following double sided equation 16 r + 48 = 4r + 88 - 8

Solution:

The given double sided equation is 16 r +  48 = 4r + 88 - 8

Subtracting 48 on both sides then we have to get the following equation,

16 r + 48 - 48 = 4r + 88 - 8 - 48

Simplifying this we have to get the following equation,

16 r = 4r + 32

Now we have to subtract the value 4r on both sides, we can get

16 r - 4r = 4r + 32 - 4r

Simplifying this we have to get the following equation,

12r = 32

Now we have to divide the value 4 on both sides, we can get the value for the variable ‘r’

That is r = `8/3`

This is the value of the variable of the given double sided equation.

These are the example problems of solving double sided equations.

problem on Substitutoring method

Topic :Substitution Method

If we have 2 equations ,We can solve them by substituting one on another,This is called Substitution method.We can solve the equations with out any complexity like elimination method.

here is one similar kind of example ,shows how to solve equations


Question:-

           1
Solve y = ---- x + 3 and   y=2x-1
         2

by using sustitution method.

Solution:-

Given


    1
y = ---- x + 3 -------Equation-1
    2

and   y=2x-1 -------Equation-2


Here equation 2 can be substituted in equation 1

         1
 2x-1 = ---- x+3
         2
   +1        +1  Add 1 bothsides
-------------------
         1
 2x   = ----x+4
         2

  1       1             1
- ---x  - ---x subtract ---x
  2       2             2
------------------
   1
2x- ---x = 4
   2
3
----- x = 4
2

3
----- x * 2 = 4 * 2 (multiply by 2
2

3x = 8
  
      8
 x = ----  is the Answer
      3

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