Systems of Equation

Front

What is a system of equations?

Back

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

Front

What does it mean when two lines intersect on a graph?

Back

It means there is a unique solution to the system of equations.

Front

What is the solution to a system of equations?

Back

The point(s) where the equations intersect on a graph.

Front

What does it indicate if two lines are parallel?

Back

The system of equations has no solution.

Front

What does it mean if two equations represent the same line?

Back

The system has infinite solutions.

Front

How do you solve a system of equations graphically?

Back

By plotting both equations on the same graph and identifying the intersection point.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable.

Front

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

Back

The lines are parallel and do not intersect.

Front

What is an example of a system of equations with infinite solutions?

Back

y = 2x + 3 and 2y = 4x + 6.