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System of Equations
Two equations together are called a
system of equations. A solution of a system of
equations is an ordered pair of numbers that satisfies both
equations. A system of two linear equation can have 0, 1 or
an infinite number of solutions.
A system of equations is consistent
if there is at least one ordered pair that satisfies both
equations. If there is only one solution, the system is
independent. If there are infinite solutions, the
system is dependent.
If the graphs of two linear equations
coincide, there are an infinite number of solutions.
If the graphs are parallel, there
are no solutions, and the system is inconsistent.
© The e-Learning Research Foundation 2007
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