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Which describes the system of equations below?Choices:(A) inconsistent(B) consistent and independent(C) consistent and dependent
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Q. Which describes the system of equations below?Choices:(A) inconsistent(B) consistent and independent(C) consistent and dependent
- Compare slopes of equations: We have the system of equations:First, we need to compare the slopes of both equations.In , the slope is .In , the slope is also .
- Compare y-intercepts: Next, we compare the y-intercepts of both equations.In , the y-intercept is .In , the y-intercept is also .
- Identify identical lines: Since both the slope and -intercept of the two equations are the same, the lines they represent are identical. This means every solution to one equation is also a solution to the other, and they have infinitely many points in common.
- Determine consistency and dependency: Choose the option which describes the given system of equations. Since the slopes and -intercepts are the same, the system of equations is consistent and dependent.
