An independent system has exactly one solution pair
(
x
,
y
)
. The point where the two lines intersect is the only solution.
An inconsistent system has no solution. Notice that the two lines are parallel and will never intersect.
A dependent system has infinitely many solutions. The lines are coincident. They are the same line, so every coordinate pair on the line is a solution to both equations.
Answers & Comments
Answer:
An independent system has exactly one solution pair
(
x
,
y
)
. The point where the two lines intersect is the only solution.
An inconsistent system has no solution. Notice that the two lines are parallel and will never intersect.
A dependent system has infinitely many solutions. The lines are coincident. They are the same line, so every coordinate pair on the line is a solution to both equations.
Explanation:
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