Types of Solution

Front

What is an Infinite Solution in a system of equations?

Back

A system of equations has infinite solutions when the equations represent the same line, meaning they have the same coefficients and constants.

Front

What does No Solution mean in a system of equations?

Back

No solution occurs when the equations represent parallel lines, which have the same coefficients but different constants.

Front

What is One Solution in a system of equations?

Back

One solution exists when the equations represent two different lines that intersect at exactly one point, meaning they have different coefficients.

Front

Back

Infinite Solutions.

Front

Back

No Solution.

Front

What is the condition for No Solution?

Back

Coefficients are the same, but constants are different.

Front

What is the condition for One Solution?

Back

Coefficients are different.

Front

What is the condition for Infinite Solutions?

Back

Coefficients are the same and constants are the same.

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Back

Infinite Solutions.

Front

What does it mean if two equations have the same coefficients and constants?

Back

It means the equations are equivalent and have infinite solutions.