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 infinite solutions?

Back

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

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable and substitute that expression into the other equation.

Front

How do you solve a system of equations using elimination?

Back

Add or subtract the equations to eliminate one variable, then solve for the remaining variable.

Front

What is the graphical representation of a system of equations?

Back

The solution is where the graphs of the equations intersect.

Front

What is the solution to the system of equations: 3x + 2y = 16 and 7x + y = 19?

Back

(2, 5)

Front

What is the solution to the system of equations: 5x + 2y = 15 and -5x + 2y = 5?

Back

(1, 5)

Front

What does the graph of intersecting lines indicate about a system of equations?

Back

It indicates that there is one unique solution.

Front

What is the solution to the system of equations: 2x + 3y = 6 and 4x + 6y = 12?

Back

Infinite solutions.