One Solution, No Solution, Many Solutions

Front

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

Back

It means that the equations represent the same line, and every point on that line is a solution.

Front

What does it mean if a system of equations has no solution?

Back

It means that the equations represent parallel lines that never intersect.

Front

What is the solution to the equation -10y - 6 = -10y - 6?

Back

Infinite Solutions

Front

How many solutions does the system of equations y = 5x + 3 and y = 5x - 2 have?

Back

No Solution

Front

What is the solution to the equation -4(3x + 2) = 3(-4x + 5)?

Back

No Solution

Front

What is the solution to the system of equations represented by the point (-3, -8)?

Back

The solution is the point where the two lines intersect.

Front

What is a system of equations?

Back

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

Front

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

Back

Two lines that intersect at exactly one point.

Front

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

Back

Two parallel lines that never meet.

Front

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

Back

Two lines that lie on top of each other.