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4C =2A + 2B , 2B = A + 3C How many C's will balance the combination of A and B

  • math -

    4C = 2A + 2B ----> C = (2A+2B)/4
    2B = A+3C ------> C = (2B-A)/3

    (2A + 2B)/4 = (2B-A)/3
    6A + 6B = 8B - 4A
    10A = 2B
    B = 5A

    into C = (2A+2B)/4
    C = (2A + 10A)/4
    C = 3A


  • math -

    Solve the set of linear equations by the matrix method : a+3b+2c=3 , 2a-b-3c= -8, 5a+2b+c=9. Sove for c

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