MGSE8.EE.7a One, Infinite, No Solution

Front

What is the definition of 'one solution'?

Back

A system of equations has one solution when the lines intersect at exactly one point.

Front

What is the definition of 'no solution'?

Back

A system of equations has no solution when the lines are parallel and never intersect.

Front

What is the definition of 'infinite solutions'?

Back

A system of equations has infinite solutions when the lines are the same, meaning they overlap completely.

Front

Solve: 6m + 18 = 2m + 18

Back

One Solution

Front

Solve: 2x + 1 = 2x - 1

Back

No Solution

Front

Solve: 5x + 6 = 2 + 3x

Back

One Solution

Front

What does it mean if two equations have the same slope but different y-intercepts?

Back

It means the system has no solution because the lines are parallel.

Front

If a system of equations has the same slope and the same y-intercept, what can be said about the solutions?

Back

The system has infinite solutions because the lines are identical.

Front

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

Back

Two lines intersecting at a single point.

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines that never intersect.