ALGEBRA - solved problems
  Linear equations in one variable
     Solving linear equations
45.    Solve given linear equations in one variable.
Solutions:   a)   -1 - (2 - x) = 2  - (3x + 1)
                           -1 - 2 + x = 2  - 3x - 1
                                x + 3x = 2 + 2
                                      4x = 4 | ¸ 4
                                        x = 1
46.    Solve linear equations.
Solutions:    a)   23 - [9x - (17 + 5x) - 6] = 10x - [11  - (2x - 7) + 21x] + 9
                            23 - [9x - 17 - 5x - 6] = 10x - [11  - 2x + 7 + 21x] + 9

                                             23 - 4x + 23 = 10x - 19x - 18 + 9

                                                              5x = - 55 | ¸5

                                                                x = - 11

                   b)   3(x - 1) · (x + 5) + x · (x - 4) = 4x(3 + x) + 5

                                  3(x2 + 4x - 5) + x2 - 4x = 12x + 4x2 + 5
                                3x2 + 12x - 15 + x2 - 4x = 12x + 4x2 + 5
                                                                 - 4x = 20 | ¸(- 4)
                                                                      x = - 5
47.    Solve given linear equations.
Solutions:
 
 
 
 
 
 
48.    Solve given linear equations in one variable.
Solutions:
 
 
49.    Solve given linear equations in one variable.
Solutions:
 
Equations with rational expressions
50.    Solve the following rational equations.
Solution:
 
 
   
   
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