Solving linear equations

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable.Linear equations can have one or more variables. Linear equations occur with great regularity in applied mathematics. While they arise quite naturally when modeling many phenomena, they are particularly useful since many non-linear equations may be reduced to linear equations by assuming that quantities of interest vary to only a small extent from some "background" state.We have linear equations with one variable and also linear equations in two variables


Let's see how to solve equations

To get math answers we need a step by step approach as follows

 3x       6       4
---- =  ----- =  ----
x2-4     x2-4     x+2


 3x       6           4
---- =  --------  -  ----
x2-4   (x+2)(x-2)     x+2

           1       6
      =   ---- x  ---- -  4
          x+2     x-2 

  3x           1      6-4(x-2)
 -----     =  ---- x ----------
(x+2)x-2       x+2      x-2


 3x= 14 - 4x

by adding 4x on both sides

   7x = 14

   divide by 2
  
      x=2 is the answer

Question on Finding the Value of Variables in an Equation

Topic : Solve for the value of C

Question : If 6C + 4 – C = 24 , Find the Value of C

Solution :

6C – C + 4 = 24

=> 5C + 4 = 24

Subtracting 4 on both sides,

5C+4=24

-4       -4

-------------

5C   =20

divide both sides by 5

5C = 20

----    ----

5       5

Therefore C=4

Hope the Solution is helpful.