Systems of Equations: Graphing

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What does it mean for two lines to intersect on a graph?

Back

It means that there is a common solution (x, y) that satisfies both equations.

Front

How can you find the solution to a system of equations graphically?

Back

By graphing each equation and identifying the point where the lines intersect.

Front

Back

(2, 0)

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means there is no solution, as the lines will never intersect.

Front

Back

(3, 0)

Front

How can you tell if a point is a solution to a system of equations?

Back

The (x,y) coordinates satisfy both equations.

Front

Back

(1, 3)

Front

What does it mean if a system of equations has infinitely many solutions?

Back

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

Front

Back

Infinitely many solutions.