Systems of Linear Equations

Front

What is the solution of a system of linear equations?

Back

The solution is the intersection of the two equations on a graph.

Front

What method can be used to solve a system of linear equations by substituting one equation into another?

Back

Substitution method.

Front

What does it mean if a system of linear equations has an infinite number of solutions?

Back

It means that the equations represent the same line on a graph.

Front

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

Back

If the lines are parallel and never intersect, the system has no solution.

Front

What is the elimination method in solving systems of linear equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable.

Front

What is the graphical representation of a system of linear equations?

Back

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

Front

What is the significance of the point of intersection in a system of linear equations?

Back

The point of intersection represents the solution to the system.

Front

How can you check if your solution to a system of equations is correct?

Back

Substitute the solution back into the original equations to see if they hold true.

Front

What is a consistent system of equations?

Back

A consistent system has at least one solution.

Front

What is an inconsistent system of equations?

Back

An inconsistent system has no solutions.