[MATH] HOWTO solve an equation with variables

1] Solving an equation


To solve a equation with variables, leave the variable on the left side so it is easy to recognize.
Next, use properties of equation to remove all the numbers at the side where the variable is.
Remember, if you do something on one side, you have to do the same operation to the other side.
 
   Here is an examples...        Try to solve the equation

        example1>   n - 74 = 17.    : Plus 74 to each side
                             n = 91

        example2>   8b + 2 = 10b     : First of all, subtract subtract 8b to each side. 
                                     2 = 2b       : Divide each side by 2
                                     1 = b.        : So, b is 1



2] Equations with no solution or infinite amount of solutions


But sometimes, there can be no solutions. The symbol ∅ means null ( no solution ). 
Some other equations have infinite amount of solutions. You call it true for all.

             
     example3>  3 + x = 5 + x 
                               3 = 5               So the answer is null.    

     example4>  8y - 5 = 2(4y - 2) -1
                         8y - 5 = 8y - 5.             So the answer is true for all.




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