SOLUTION: please help me solve 2x/7 - 3x/5 = 6/35 please explain how you get

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Question 73839: please help me solve 2x/7 - 3x/5 = 6/35
please explain how you get
answer
Found 2 solutions by checkley75, rmromero:
Answer by checkley75(3666)   (Show Source): You can put this solution on YOUR website!
2X/7-3X/5=6/35
(5*2X-7*3X)/7*5=6/35
(10X-21X)/35=6/35 BECAUSE THERE ARE COMMON DENOMINATORS THEY CAN BE CANCELLED OUT THUS WE HAVE:
-11X=6
X=6/-11
X=-6/11 ANSWER.
2(-6/11)/7-3(-6/11)/5=6/35
(-12/11)/7+(18/11)/5=6/35
(5*-12/11+7*18/11)/35=6/35
(-60/11+126/11)=6
66/11=6
6=6
Answer by rmromero(383)   (Show Source): You can put this solution on YOUR website!


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

 

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