Weekly Summary 4

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

Solve the following equation for n:
n/4 – 5/6 = 5/12

Solve the following equation for x:
2x/3 – 4x/5 = 1/15

Solve the following equation for x:  
9/(4x) + 1/3 = 5/(2x)

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!

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).

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