Types of Systems of Linear Equations

Front

If 2 equations are graphed and they are the exact same line, the equations have _______________ solution(s).

Back

Infinitely Many

Front

It is a system of linear equations in two variables with no solution.

Back

Parallel Lines

Front

True or False, (2, 2) is a solution to y < -2x + 1

Back

False

Front

What type of lines are represented by a pair of linear equations that have the same slope and different y-intercepts?

Back

Parallel Lines

Front

What type of lines are represented by a system of equations that have the same slopes and the same y-intercepts?

Back

Same (coinciding) Lines

Front

What is a system of linear equations?

Back

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

Front

What does it mean if two lines intersect at one point?

Back

The system has one unique solution.

Front

What is the graphical representation of a system of equations with no solutions?

Back

Two parallel lines.

Front

What is the graphical representation of a system of equations with exactly one solution?

Back

Two intersecting lines.

Front

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

Back

No solution (parallel lines).