Rotation 40: Systems of Equations by Graphing

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 two lines intersect at one point?

Back

The system of equations has exactly one solution.

Front

What does it mean if two lines are parallel?

Back

The system of equations has no solution.

Front

What does it mean if two lines overlap?

Back

The system of equations has infinitely many solutions.

Front

How can you determine the solution of a system of equations graphically?

Back

By finding the point(s) where the lines intersect on the graph.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What is the solution to the system of equations y = 2x + 1 and y = 2x - 3?

Back

No solution, the lines are parallel.

Front

What is the solution to the system of equations y = x + 2 and y = -x + 4?

Back

(2, 4), the lines intersect at this point.

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 are the same line.