One, Infinite, No Solution

Front

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

Back

The coefficient (slope) will always be the same but the constants will be different.

Front

Solve the equation: 2x + 1 = 2x - 1

Back

No Solution

Front

What does it mean if two equations have infinitely many solutions?

Back

The coefficient (slope) and constants are the same for both equations.

Front

Solve the equation: 8 - 8(1 + 3x) = 23 - x

Back

-1

Front

Solve the equation: x - 20 = 5(7x - 4)

Back

0

Front

What is the condition for a system of equations to have one solution?

Back

The coefficients (slopes) of the equations must be different.

Front

If two lines are parallel, what can be said about their equations?

Back

They have the same slope but different y-intercepts, resulting in no solution.

Front

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

Back

The two equations represent the same line.

Front

Solve the equation: 3x + 2 = 3x + 5

Back

No Solution

Front

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

Back

The lines intersect at a single point.