Question 73839
<pre>
please help me solve   2x/7  -  3x/5  =  6/35               
                                                please explain how you get 
                                                answer

              2x       3x      6
             ____ -  _____ = _____     
              7        5      35

We must get rid of the denominators so that we can solve for x.
We will do that by multiplying LCD each term.
LCD = 35

              2x       3x           6
        (35) ____ -  _____ (35 )= _____  (35)   
              7        5            35

first term: 35/7 = 5. Multiply it to 2x
Second term: 35/5= 7. Multiply it to 3x. Copy the sign
Third Term: 35/35 = 1. Multiply it to 6

              10x - 21x = 6
                  - 11x = 6     divide both sides by -11
                           -6
                      x = ____
                           11

Checking:

              2x       3x      6
             ____ -  _____ = _____     
              7        5      35



              2(-6/11)      3(-6/11)      6
             _________  -  _________ =  _____     
                 7             5         35


             
              -12/11        -18/11       6
             _________  -  _________ =  _____     
                 7             5         35


              -12/11        -18/11             6
         (35)_________  -  _________ (35) =  _____   (35)  
                 7             5               35


               -12           -18              
              ______ * 5  - ______ * 7  = 6
                11            11           


               -60        -126        
              ______   - ______  = 6
                11         11        

              -60         126        
              ______   + ______  = 6
                11         11        

                     66
                    ____ = 6
                     11

                     6 = 6 --------> True