Page 89 - Mathematics
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(Add 8 on both sides)                   Solution
                           x =  16 2x−  +  8           Given   3x  +=
                                                                   3 12.
                   x +  2x =  24 2x−  +  2x                    2
               (Add  2x  on both sides)                Subtract 3 from both sides of the
                         3x =  24                      equation get,
               Divide by 3 on both sides of the        3x  +−        −                           Tanzania Institute of Education
                                                            3 3 12 3=
               equation to get,                         2
                                                             3x
                          24                                  2  =  9
                           x =
                          3                            Multiply both sides of the equation
                              = 8                      by 2 to get,

               Therefore,  x = 8.
                                                       3x ×=   92×
                                                            2
                                                        2
               Example 5.18                                   3x = 18
                                                       Divide by 3 on both sides of the
                                         57
               Find the value of y if  3y −=           equation to get,
                                                                18
               Solution                                     x =  3
                          5 7.
               Given 3y −=                                       6
               Add 5 on both sides of the equation                 =
                                                                     6
               to obtain,                              Therefore, x = .

                    55 7 5= +
               3y −+                                   Example 5.20
                          3y = 12
               Dividing by 3 on both sides of the      Solve for the value of z if
               equation gives,                         5
               3  y = 12                               3 (3z −  2) 10.=
               3     3                                 Solution

                    y =  4                                    5
               Therefore,  y =  4.                     Given  (3z −  2) 10.=
                                                              3
                                                       Multiply by 3 on both sides of the
                                                       equation. That is,
               Example 5.19
                                                       3×  5 (3z −  2) =  3 10×
               Solve for the value of x in the equation   3                                        Mathematics Form One
               3x  +=                                         5(3z −  2) 30=
                    3 12.
                2





                                                  83




                                                                                        25/10/2024   09:51:26
   Mathematics form 1.indd   83                                                         25/10/2024   09:51:26
   Mathematics form 1.indd   83
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