Abstract
Summary The method given in this paper for the solution of linear simultaneous equations is on the lines of the escalator process originally devised for the solution of Lagrangian frequency equations. The process does not involve the usual devices of elimination or of the evaluation of determinants, neither does it involve iteration or the like. The escalator process is based essentially on an artifice for the successive introduction of each of the variables involved by definite self-contained stages. An important feature of the process is that powerful checks are available at each stage to ensure accuracy and if necessary to adjust it.
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