| 单词 | simultaneous equations |
| 释义 | simultaneous equations A system of two or more equations relating two or more variables. A solution to such a system is a set of values of the variables for which each equation is satisfied. In general as many variables as independent equations are needed for a system of simultaneous equations to be solvable, but this does not guarantee that any solution exists. For some particular systems, for example simultaneous linear equations, necessary and sufficient conditions for the existence of solutions can be stated, but such rules are specific to particular systems. For more complex systems, it may be difficult to establish whether solutions exist. If they do, there may well be multiple solutions. It is, however, always possible to check whether any proposed solution is correct: this is done by substituting it into the original equations and checking that each is in fact satisfied. |
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