Solving System of Equations by graphing

Front

What is a system of equations?

Back

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

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

What does it mean to solve a system of equations by graphing?

Back

It means to find the point(s) where the graphs of the equations intersect.

Tags

CCSS.8.EE.C.8B

Front

What is the solution to a system of equations?

Back

The point(s) where the equations intersect, representing the values of the variables that satisfy all equations.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

What does it mean if a system of equations has one solution?

Back

The graphs of the equations intersect at exactly one point.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The graphs of the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

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

Back

The graphs of the equations coincide, meaning they are the same line.

Tags

CCSS.8.EE.C.8A

Front

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

Back

By plotting the equations on a graph and identifying the intersection point.

Tags

CCSS.8.EE.C.8B

Front

What is the significance of the intersection point in a graph of a system of equations?

Back

It represents the values of the variables that satisfy all equations in the system.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What are the possible outcomes when graphing a system of equations?

Back

One solution, no solution, or infinitely many solutions.

Tags

CCSS.8.EE.C.8B