Unit 4 Systems Flashcard Review

Front

What is the solution to a system of equations?

Back

The solution is any ordered pair that makes both equations true.

Front

What does it mean if two lines intersect in a graph of a system of equations?

Back

It means the system has one solution.

Front

What is the solution to the system: y = 2x + 10 and 6x + 2y = -20?

Back

(-4, 2)

Front

If a system of linear equations has no solution, what does this indicate about the lines?

Back

The lines are parallel.

Front

What is an ordered pair in the context of a system of equations?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on the graph.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means the two lines are the same line.

Front

How can you determine if a system of equations has one solution?

Back

If the lines intersect at one point, the system has one solution.

Front

What is the graphical representation of a system of equations?

Back

It is represented by the lines of the equations on a coordinate plane.

Front

What is the significance of the point where two lines intersect?

Back

It represents the solution to the system of equations.

Front

What does it mean if a system of equations is consistent?

Back

A consistent system has at least one solution.