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A system of linear equations can only have: no solution, one solution, or infinitely many solutions.
It may be possible to solve equations. Expressions cannot be solved until they are converted, with additional information, into equations or inequalities which may have solutions.
In simple terms all that it means that there are more solutions than you can count!If the equations are all linear, some possibilities are given below (some are equivalent statements):there are fewer equations than variablesthe matrix of coefficients is singularthe matrix of coefficients cannot be invertedone of the equations is a linear combination of the others
Because linear lines can't intersect in two seperate places. They either intersect at one specific coordinate, or the lines are on top of each other and they intersect at every point.
In general, a system of non-linear equations cannot be solved by substitutions.