Graphing Systems of Equations

Front

Definition of a system of equations

Back

A set of two or more equations with the same variables

Front

Graphing step 1

Back

Plot each equation on the same graph

Front

Graphing step 2

Back

Identify the point(s) where the graphs intersect

Front

Example equation 1

Back

y = 2x + 3

Front

Example equation 2

Back

y = -x + 1

Front

Key term: Intersection

Back

The point where two graphs meet

Front

Example equation 3

Back

y = 3x - 2

Front

Key term: Parallel lines

Back

Lines in a plane that never meet; they have the same slope

Front

Graphing step 3

Back

Check the solution by substituting back into the original equations