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4 votes
Without graphing, classify the following system as independent, dependent, or inconsistent.

y = -3x + 5
3x+y=5

1 Answer

4 votes
Dependent. This system is consistent, because the first equation can be rearranged to y+3x=5, which is exactly the same as the second equation, so they don't contradict each other. However, their are infinite number of solutions to the equation y+3x=5, like x=1, y=2; or x=2, y=-1;... so the system is dependent.
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User Daniel Shields
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