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3 votes
Classify the system as independent, dependent, or inconsistent.

y=2x-1
y=-2x+5
O independent
O dependent
O inconsistent"

User Robertdj
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1 Answer

5 votes

Final answer:

The system of equations y=2x-1 and y=-2x+5 is independent because the lines have opposite slopes and different y-intercepts, meaning they intersect at one point.

Step-by-step explanation:

The system of equations described by y=2x-1 and y=-2x+5 can be classified by comparing their slopes and y-intercepts. Since the slopes of the two lines are opposites (2 and -2) and the y-intercepts are different (-1 and 5), these lines will intersect at exactly one point. This means they are independent; each equation represents a straight line, and the system has a single solution where these two lines cross.

In the context of this question, the independent variable is x (which can be chosen freely), and the dependent variable is y (which depends on the value of x through the equation of the line).

User Folaht
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