IXL | Classify a system of equations

Which describes the system of equations below?

y = 6x − 5

^–3

−

consistent and independent

inconsistent

consistent and dependent

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Learn with an example

Which describes the system of equations below?

y = ^–5x − 3

^–5

inconsistent

consistent and dependent

consistent and independent

A system of two equations can be classified as follows:

If the slopes are the same but the y-intercepts are different, the system is inconsistent.

If the slopes are different, the system is consistent and independent.

If the slopes are the same and the y-intercepts are the same, the system is consistent and dependent.

The slopes are the same but the y-intercepts are different, so the lines are parallel and never intersect. The system is inconsistent.

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