The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.
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It is a system of linear equations which does not have a solution.
An ordered pair is a solution only of a linear equation in two variables - not any linear equation. Often the variables are denoted by x and y. If the first of the ordered pair is substituted for x in the equation, and the second for y, then the equation represents a true statement.
This is a linear algebra question and it is incomplete since there are no equation which have to be solved.
This is a linear equation. The value x = -1 is the solution to this equation.
It is a linear equation in x. The equation has the solution x = 0.