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x = 2           x = 8
               3. (a)


                                x =-6                     x = 2
                   (b)
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                                   1                              19
                               x =-  3                          x =  3
                   (c)

                            x =-16                       x = 8
    Tanzania Institute of Education
                   (d)


                                                                 1
               5.  (a)  p = 15       (b)  r =  6.75            (c)   x = −          (d)  y =  0
                                            1                    4
               7.  (a)  x =          (b)    x = −             (c)      x =
                                                                 2
                           6
                                            4
               9.  (a)  x = 66°      (b)     x =  47.5°
                    Exercise 5.6


               1.  12 years        7.     m = 20 or 28         13.   9
               3.    18 and 19        9.    16                 15.  The number is 4
               5.    y = 10             11.   Daughter 4 years and mother 32 years



                    Exercise 5.7
                                                                               1
               1.   x = 2, y =     7.     x =  −  1, y =  2       13. u =  2, v = −  2
                              1
                                                                        1
                                                 4
                             2
               3.   x =  4, y =      9.     x = 8, y =         15.    m =  3 , n = 7
               5.    x = 3, y = 1     11.   x =  −  1, y =  3



                    Exercise 5.8

    Mathematics Form One  1.   x = 8, y= 2                9.     a =  6, y = 10
                                                 −
                                                   1, b =
                      3, y =
                             2
                                                         23
               3.  x=
                                                          3
                                         11.    x =
                                                  12, y =
                             3
                                         13.   x =
               5.   x =
                      2, y =
                             2
                      2, y =
               7.  x =
                                                  8, y =
                                         15.    x =
                                                         5
                                                 178
                                                                                        25/09/2025   15:02:13
   Mathematics form 1.indd   178
   Mathematics form 1.indd   178                                                        25/09/2025   15:02:13
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