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In this activity, you will analyze systems of equations to determine the number of solutions they have.

In a system of two linear equations, what is the relationship between the slope of the lines and the number of solutions
to the system?

1 Answer

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Final answer:

The relationship between the slope of the lines and the number of solutions to a system of two linear equations.

Step-by-step explanation:

The relationship between the slope of the lines and the number of solutions to a system of two linear equations is as follows:

If the slopes of the lines are equal, then the system has infinitely many solutions. This means that the lines are coincident and overlap each other.If the slopes of the lines are different but not equal to zero, then the system has a unique solution. This means that the lines intersect at a single point.If the slopes of the lines are equal to zero, then the system has no solution. This means that the lines are parallel and do not intersect.
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