Module 7 Flashcard

Front

Solve the system: 4x - 2y = 8, y = -2

Back

(1, -2)

Front

Based on the graph, how many solutions can you conclude from the system of equations?

Back

No Solution

Front

Solve the system: 2x - y = -9, 4x = -8

Back

(-2, 5)

Front

Solve the system of equations: 3x + y = -6, 6x + 2y = -12

Back

Infinitely Many Solutions

Front

Solve the system: -3x - 4y = -3, 4x + 3y = 4

Back

(1, 0)

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

Back

The equations represent the same line, so every point on the line is a solution.

Front

How do you determine the number of solutions in a system of equations?

Back

By analyzing the graphs of the equations or using algebraic methods.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and then substituted into the other equation.