Online Systems of Equations Solver | Linear equation system calculator
Whataresystemsofequations?Asystemofequationsisasetofoneormoreequationsinvolvinganumberofvariables.Thesolutionstosystemsofequationsarethevariablemappingssuchthatallcomponentequationsaresatisfied—inotherwords,thelocationsatwhichalloftheseequationsintersect.Tosolveasystemistofindallsuchcommonsolutionsorpointsofintersection.Systemsoflinearequationsareacommonandapplicablesubsetofsystemsofequations.Inthecaseoftwovariables,thesesystemscanbethoughtofaslinesdrawnintwo-dimensionalspace.Ifalllinesconve...
What are systems of equations?A system of equations is a set of one or more equations involving a number of variables.The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect. To solve a system is to find all such common solutions or points of intersection.
Systems of linear equations are a common and applicable subset of systems of equations. In the case of two variables, these systems can be thought of as lines drawn in two-dimensional space. If all lines converge to a common point, the system is said to be consistent and has a solution at this point of intersection. The system is said to be inconsistent otherwise, having no solutions. Systems of linear equations involving more than two variables work similarly, having either one solution, no solutions or infinite solutions (the latter in the case that all component equati...