H. Alg II Chap 3 CFA #3

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 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 that expression is substituted into the other equation.

Front

How do you determine if a system of equations has infinitely many solutions?

Back

If the equations represent the same line, they have infinitely many solutions.

Front

What is the graphical representation of a system of equations?

Back

The points where the lines intersect represent the solutions to the system.

Front

What does it mean if two equations are dependent?

Back

They represent the same line and have infinitely many solutions.

Front

What does it mean if two equations are independent?

Back

They represent different lines and can have one solution, no solution, or infinitely many solutions.

Front

How do you solve a system of equations by graphing?

Back

Graph each equation on the same coordinate plane and identify the point(s) of intersection.

Front

What is the first step in the elimination method?

Back

Align the equations so that corresponding variables and constants are in the same columns.