Systems of Equations and Inequalities Review

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines.

Front

Back

Front

Solve the system of equations: -6x + 6y = 6 and 6x - 3y = 12. What are the values of x and y?

Back

Front

Back

The system has an infinite number of solutions.

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables.

Front

What does it mean if two lines in a system of equations intersect at one point?

Back

It means the system has one unique solution.

Front

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

Back

The lines overlap completely, representing the same line.

Front

What is the difference between a consistent and inconsistent system of equations?

Back

A consistent system has at least one solution, while an inconsistent system has no solutions.

Front

How do you determine the solution of a system of equations graphically?

Back

The solution is found at the point(s) where the lines intersect.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line.