Systems of Equations REVIEW

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 lines representing the equations coincide, meaning they are the same line.

Front

What is the graphical representation of a system with one solution?

Back

The lines intersect at exactly one point.

Front

What is the elimination method in solving systems of equations?

Back

A method where you add or subtract equations to eliminate one variable.

Front

What is the substitution method in solving systems of equations?

Back

A method where you solve one equation for a variable and substitute it into the other equation.

Front

How can you tell if two equations are dependent?

Back

If one equation can be derived from the other by multiplying or dividing.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

What does it mean for two lines to be skew?

Back

They are non-parallel lines that do not intersect and exist in different planes.

Front

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

Back

By analyzing the slopes and y-intercepts of the lines represented by the equations.