System of Equations (Substitution)

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 one solution?

Back

The lines represented by the equations intersect at exactly one point.

Front

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

Back

The lines represented by the equations are parallel and never intersect.

Front

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

Back

The lines represented by the equations are the same line, overlapping each other.

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

How do you determine if two lines are parallel?

Back

If their slopes are equal and their y-intercepts are different.

Front

How do you determine if two lines are the same?

Back

If they have the same slope and the same y-intercept.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines represent the solutions to the system.

Front

What is the first step in the substitution method?

Back

Solve one of the equations for one variable.

Front

What is the significance of the solution to a system of equations?

Back

It represents the point(s) where the equations are satisfied simultaneously.