Unit 5 FLASHCARD

Front

What are the methods to solve systems of equations?

Back

Graphing, Substitution, Elimination, All of the above.

Front

Back

x = 4 and y = -2.

Front

Which system of equations represents Nancy's grocery purchases?

Back

4x + 6y = 13 and 3x + 7y = 13.5.

Front

Back

(3, 6).

Front

What does it mean if a system of equations has an infinite number of solutions?

Back

The equations represent the same line in a graph.

Front

Define a system of equations.

Back

A set of two or more equations with the same variables.

Front

What is the substitution method in solving systems of equations?

Back

Replacing one variable with an expression derived from another equation.

Front

What is the elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate one variable.

Front

What does it mean for two equations to be independent?

Back

They have exactly one solution, meaning they intersect at one point.

Front

What does it mean for two equations to be dependent?

Back

They have an infinite number of solutions, meaning they represent the same line.