Number of Solutions for Systems of Equations

Front

What is the number of solutions for a system of equations with parallel lines?

Back

None

Front

What does it mean if two equations represent the same line?

Back

Infinite solutions

Front

What is the condition for two lines to be parallel?

Back

They have the same slopes.

Front

How many solutions does the system y = 4x + 3 and y = 4x + 1 have?

Back

No solution

Front

What is the number of solutions for a system of equations with intersecting lines?

Back

One solution

Front

If a system of equations has no solutions, what can be inferred about the lines?

Back

The lines are parallel.

Front

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

Back

The equations represent the same line.

Front

How can you determine if a system of equations has one solution?

Back

The lines intersect at one point.

Front

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

Back

Two parallel lines.

Front

What is the graphical representation of a system with infinite solutions?

Back

One line on top of another.