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  • Solve the following equations: (a) 4 = 5(p - 2)

Q3 Solve the following equations:

(a) 4 = 5(p – 2)

(b) – 4 = 5(p – 2)

(c) 16 = 4 + 3(t + 2)

(d) 4 + 5(p – 1) =34

(e) 0 = 16 + 4(m – 6)

Answers (1)

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(a)                 4 = 5(p – 2)

Dividing both sides by 5, we get :

                                   p\ -\ 2\ =\ \frac{4}{5}

or                                            p\ =\ \frac{4}{5}\ +\ 2\ =\ \frac{14}{5}

 

(b)           – 4 = 5(p – 2)

Dividing both sides by 5, we get :

                                    p\ -\ 2\ =\ \frac{-4}{5}

or                                            p\ =\ \frac{-4}{5}\ +\ 2\ =\ \frac{6}{5}

 

(c)          16 = 4 + 3(t + 2)

Transposing 4 to the LHS and then dividing both sides by 3, we get :

                                  16\ -\ 4\ =\ 3(t\ +\ 2)

or                                  t\ +\ 2\ =\ 4

or                                             t\ =\ 2

 

(d)                4 + 5(p – 1) =34

Transposing 4 to the RHS and then dividing both sides by 5, we get :

                                   5(p\ -\ 1)\ =\ 30

or                                     p\ -\ 1\ =\ 6

or                                                 p\ =\ 7

 

(e)            0 = 16 + 4(m – 6)

Transposing 16 to the LHS, we get : 

                               -\ 16\ =\ 4(m\ -\ 6)

or                         m\ -\ 6\ =\ -4

or                                  m\ =\ 2         

Posted by

Sanket Gandhi

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