Solving Systems of Linear Equations

Front

What is the solution to a system of equations?

Back

Any ordered pair that makes both equations true.

Front

What methods can be used to solve systems of linear equations?

Back

Graphing, substitution, and elimination.

Front

Solve the system using substitution: x = -2y - 1 and -6x = -2y + 20. What is the solution?

Back

(-3, 1)

Front

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

Back

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

Front

What is the elimination method in solving systems of equations?

Back

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

Front

Solve using elimination: -4x - 4y = 0 and 4x + 4y = 0. What is the solution?

Back

Infinite number of solutions.

Front

What is a system of linear equations?

Back

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

Front

How do you check if an ordered pair is a solution to a system of equations?

Back

Substitute the values into both equations and see if both are true.

Front

What is substitution 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

If a system of equations has no solution, what does that indicate?

Back

The lines represented by the equations are parallel and never intersect.