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solve for c- 14=c/5

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4 Answers

-14=c/5

Make a proportion

-14/1 =c/5

Cross multiply -14 x 5 and divide by 1

-70 /1 = -70

c = -70

c-14=c/5

Multiply both sides by 5       5(c - 14) = c/5*5 

                                        5 (c - 14) = c      (because c divided by 5 multiplied by 5 is just c, kind like

                                                                    c + 5 - 5 = c)

Distribute 5 to get:           5c - 5(14) = c

                                      5c - 70 = c

subtract 5c on both sides to get all the c's together:     5c - 70 = c

                                                                              -5c          -5c

                                                                               0 - 70 = -4c

                                                                                  - 70 = -4c

Divide by -4:                  -70/-4 = -4c/-4 

                                       17.5 = 1c         (Remember a negative divided by negative = a positive)

                                     17.5 = c                                                     

 


                                                                        

If the equation is 14 = c/5, fist isolate c by multiplying both sides of the equation by the demoninator of the fraction, 5 in this case.    

c/5*5 = c/5 * 5/1

c/5* 5/1= 5c/5 = 1c =c

The right side is now c.  

Not sure if the 14 is negative but we'll say it is.  Multiplying the left side by 5 we get:

(-14)(5)=-70.  (if the 14 were positive your solution would be positive also).  

Substitute -70 for c in the original equation:  -14 = -70/5 ... it does! 

 

 

c-14=c/5

=> 5c-14*5=c

=>4c=14*5

=>c=(14*5)/4

=> c= 17.5