The slopes (gradients) of the two equations are different.
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perpendicular
A system of equations with exactly one solution intersects at a singular point, and none of the equations in the system (if lines) are parallel.
Any solution to a system of linear equations must satisfy all te equations in that system. Otherwise it is a solution to AN equation but not to the system of equations.
In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.
a linear equation