Systems of Equations

Front

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

Back

The graph consists of parallel lines.

Front

What is the solution to a system of equations that has no solution?

Back

No Solution.

Front

What is the solution to the system of equations: 2y + x = -15 and x = 3y?

Back

(-9, -3).

Front

How many solutions does a system of equations have if they are the same line?

Back

Infinitely Many Solutions.

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 two lines intersect at one point in a system of equations?

Back

The system has one unique solution.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable and 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 two lines are skew in a system of equations?

Back

The lines do not intersect and are not parallel, existing in different planes.

Front

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

Back

The graph consists of the same line.