Weekly Summary 4

  A maximum of 5 bonus points will be awarded for 5 correct answers  with step by step explanations. 

1. Solve the following equation for n:
   n/4 - 5/6 = 5/12
   
   
2. Solve the following equation for x:
   2x/3 - 4x/5 = 1/15
   
   
3. Solve the following equation for x:  
   9/(4x) + 1/3 = 5/(2x)
   
   
4. Solve the following equation for x:
   |5x-7| = 14
   Hint:  This absolute value equation will turn into 2 linear equations, so there will be two solutions!
   
   
5. Solve the following system of linear equations: 2x + 3y = -5

                                                                                                      -2x +  y =  9

6. Solve for (x, y, z), if there is a solution to the given system of linear equations:

                                                              - x + 2y + 3z = 0

                                                              3x  - 2y - 2z  = 5

                                                              4x +  y -  3z   = -9

  7.  Solve: x2 - 4x + 5 = 0.
 

 8, Add the complex numbers: (5 – 2i) + (1 + 6i)

9.  Subtract the complex numbers:  (4+3i) - (6+i).

10.  Multiply the complex numbers (4+3i) (6+i).