Flashcard 6-3M: System of linear equations

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Front

What does it mean if a system of linear equations has no solution?

Back

The lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of linear equations has one solution?

Back

The lines represented by the equations intersect at exactly one point.

Front

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

Back

The lines represented by the equations are the same line, overlapping each other.

Front

How can you determine if two lines are parallel?

Back

If they have the same slope but different y-intercepts.

Front

What is the constant of variation in a direct variation equation?

Back

It is the ratio of y to x, represented as k in the equation y = kx.

Front

If y varies directly with x and y = 7 when x = 14, what is the constant of variation?

Back

1/2

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines.

Front

What is the graphical representation of a system with one solution?

Back

Two intersecting lines.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

Two overlapping lines.