3. Give the steps you will use to separate the variable and then solve the equation:

(a) 3n – 2 = 46

(b) 5m + 7 = 17

(c) 20p / 3 = 40 

(d) 3p/10 = 6 

Answers (1)

(a)   We have  3n – 2 = 46.

        Transposing - 2 to the RHS, we have :

                                 3n\ =\ 46\ +\ 2\ =\ 48

or                              n\ =\ 16

 

(b) We have      5m + 7 = 17

        Transposing 7 to the RHS, we have :

                                 5m\ =\ 17\ -\ 7\ =\ 10

or                              m\ =\ 2

 

(c) We have   20p / 3 = 40 

       Multiply both sides by  \frac{3}{20} :

                      \frac{20p}{3}\times \frac{3}{20}\ =\ 40\times \frac{3}{20}

or                                p\ =\ 6

 

(d)    We have   3p/10 = 6 

       Multiply both sides by  \frac{10}{3} :

                      \frac{3p}{10}\times \frac{10}{3}\ =\ 6\times \frac{10}{3}

or                                p\ =\ 20

 

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