Solving Systems and Matrices DHS

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

Front

What is elimination in solving systems of equations?

Back

A method where one equation is manipulated to eliminate one variable, making it easier to solve for the other.

Front

What is a solution to a system of equations?

Back

A set of values for the variables that makes all equations in the system true.

Front

What does it mean if a system of equations has no solution?

Back

The lines represented by 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, meaning every point on the line is a solution.

Front

How do you determine if a system of equations has one solution?

Back

If the lines intersect at exactly one point, the system has one unique solution.

Front

What is a matrix?

Back

A rectangular array of numbers arranged in rows and columns.

Front

How do you represent a system of equations using matrices?

Back

By creating a coefficient matrix and a constant matrix.

Front

What is the coefficient matrix?

Back

A matrix that contains the coefficients of the variables in a system of equations.