Trying to solve this system of simultaneous equations. A solution with work shown would be appreciated.

$ae^{b(21.55-c)}+d=52.45 $
$ae^{b(44.41-c)}+d=107.594$
$ae^{b(53.627-c)}+d=192.024 $
$ae^{b(57.056-c)}+d=271.882$
  • There's a point where a numerical solver is needed, in my opinion.

  • I can provide an analytical discussion about the solutions, but the offered bounty is too low.

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