Systems of Equations: Substitution Exit Ticket

Front

What is a system of equations?

Back

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

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable, then substitute that expression into the other equation.

Front

What is the first step in solving a system of equations by substitution?

Back

Isolate one variable in one of the equations.

Front

What is the graphical representation of a system of equations?

Back

The solution is where the graphs of the equations intersect.

Front

What does it indicate if two equations are equivalent?

Back

They represent the same line and thus have infinite solutions.

Front

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

Back

It represents the solution to the system, where both equations are satisfied.

Front

What is an example of a system of equations with no solution?

Back

y = 2x + 1 and y = 2x - 3.

Front

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

Back

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