One Solution, No Solution, Many Solutions

Front

What is meant by 'One Solution' in a system of equations?

Back

A system of equations has 'One Solution' when the graphs of the equations intersect at exactly one point.

Front

What does 'No Solution' indicate in a system of equations?

Back

'No Solution' means that the equations represent parallel lines that never intersect.

Front

What does 'Infinitely Many Solutions' mean in a system of equations?

Back

'Infinitely Many Solutions' occurs when the equations represent the same line, meaning every point on the line is a solution.

Front

How can you determine if a point is a solution to a system of equations?

Back

A point is a solution if its (x,y) coordinates satisfy both equations in the system.

Front

What is the solution to the equation: -2x + 9 + 6x = -3x + 2?

Back

One Solution.

Front

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

Back

No Solution.

Front

How many solutions does the system of equations have if they are identical?

Back

Infinitely Many Solutions.

Front

What is the graphical representation of a system with 'No Solution'?

Back

Two parallel lines that do not intersect.

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 'Infinitely Many Solutions'?

Back

Two overlapping lines that are the same.