Systems of Equations

Front

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

Back

Parallel lines.

Front

How many solutions does a system of equations have if the lines intersect at one point?

Back

One solution.

Front

What is the solution of a system of equations if the two equations represent the same line?

Back

Infinitely many solutions.

Front

Which of the following is not a method to solve systems of equations: Elimination, Difference of Squares, Substitution, Graphing?

Back

Difference of Squares.

Front

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

Back

(1, -1).

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 are perpendicular in a system of equations?

Back

They intersect at a right angle and have one unique solution.

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate one variable.

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

Back

The equations represent the same line.