Question:

Solve the following systems of equations using Cramer's Rule. Please!?

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1.) 2x+3y=7

8x+12y=2

2.) 2x-y=3z=9

x +2z=3

3x+2y+z=10

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  1. Go here to learn how to use Cramer's rule:

    http://www.purplemath.com/modules/cramer...

    Set up a matrix for each problem.  Find the determinants, and use Cramer's rule.


  2. 1) setup matrix and calculate the determinants D,D1 and D2

    2 3 7

    8 12 2

    x = D(1)/D  y =D(2)/D

    D= 2*12 - 8*3 = 0

    since D is equal to zero making denominator zero there is no definite solution to this equal in fact the 2 systems are parallel so there is no solution to this equation

    hope this helps

  3. 1) Put the coefficients into a matrix.

    [2   3] = [7]

    [8 12] = [2]

    Then, find the determinant (ad-bc).

    Determinant = 24 - 24 = 0

    Determinant equals zero, therefore you cannot solve this system of equations using Cramer's Rule.

  4. solve your own problem!!  (only for the first one)

       linear system:              a(2) x + b(3) y = e(7)

                                         c(8) x + d(12) y = f(2)

    ..x=   {e  b}                              

    .......{f   d}...ed-bf                          

    .......------- = -------                        

    .......{a  b}...ad-bc                        

    .......{c  d}                                    

    ..y=   {a  e}

    .......{c  f} .... af-ec

    .......--------- = --------

    .......{a  b} ...ad-bc

    .......{c  d}

    i tried solving this problem and got

    {2*(78/0)} + {3*(-2/0)} = 7

    cramer's rule cannot solve this problem

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