What's the answer to the equation?

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Step-by-step explanation:

Assuming the matrix which multiplies the clear text code is:

    |-3   2|

C =|-4   3|

And the matrix re<presenting the encoded text is :

    |10  -26  -49  9  3  -13   -50|

B = |16  -33  -63  16  9  -10  -65|

Calling X the secret message, the relationship between the 3 matrices can be represented as:

C*X = B  

Solving for X:

X = C^-1*B

where C^-1 is the inverse of C.  

        |-3   2|

C^-1 =|-4   3|

Multiplying:

    |2       12 21 5 9 19 20 |

X = |8 5 7 12 15 22 5 |

Replacing numbers by its corresponded letter (see picture attached):

    |B L  U E I S T |

x = |H E G L O V E |

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