Systems 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 two lines on a graph intersect at one point?

Back

The system has one unique solution.

Front

What does it mean if two lines on a graph are parallel?

Back

The system has no solution.

Front

What does it mean if two lines on a graph are the same line?

Back

The system has infinite solutions.

Front

What is the slope of a line?

Back

The slope is the ratio of the rise (change in y) to the run (change in x).

Front

How do you determine if a system of equations has no solution?

Back

If the lines are parallel, they will never intersect.

Front

What is the elimination method in solving systems of equations?

Back

A method where you add or subtract equations to eliminate one variable.

Front

What is the substitution method in solving systems of equations?

Back

A method where you solve one equation for one variable and substitute it into the other equation.

Front

What is the graphical method for solving systems of equations?

Back

Plotting the equations on a graph and finding the intersection point.

Front

If a system of equations has infinite solutions, what can be said about the equations?

Back

They are equivalent equations representing the same line.