Systems of Equations

Front

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

Back

The two lines are the same line.

Front

What is the solution to the system of equations represented by the point (1, -1)?

Back

(1, -1) is the solution.

Front

How many solutions does a system of equations have if the lines are parallel?

Back

0 solutions.

Front

Which graph represents the solution (-5, 0)?

Back

Graph D.

Front

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

Back

The lines are parallel.

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?

Back

The system has one unique solution.

Front

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

Back

The lines overlap completely.

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.

Front

What is the elimination method in solving systems of equations?

Back

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