Types of Solutions

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines.

Front

How many solutions does the equation 3x + 2 = 3x + 2 have?

Back

Infinite Solutions.

Front

What is the definition of 'no solution' in a system of equations?

Back

No matter what constant is substituted in for the variable, the equation will NEVER be true.

Front

How many solutions does the equation 2x + 3 = 2x + 3 have?

Back

Infinite Solutions.

Front

What is the number of solutions to the system of equations if they are parallel?

Back

No Solution.

Front

What is the number of solutions to a system of equations that are identical?

Back

Infinitely Many Solutions.

Front

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

Back

The lines intersect at exactly one point.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The lines overlap completely.

Front

What is the term for lines that never intersect?

Back

Parallel lines.

Front

If two lines intersect at one point, how many solutions does the system have?

Back

One Solution.