Types of Solutions

Front

What is a solution in the context of equations?

Back

A solution is a value or set of values that satisfies an equation, making it true.

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What does 'no solution' mean in an equation?

Back

'No solution' means that there are no values that can be substituted into the equation to make it true.

Front

What does 'infinite solutions' mean in an equation?

Back

'Infinite solutions' means that there are countless values that can satisfy the equation, often occurring when two equations represent the same line.

Front

What is the symbol for 'no solution'?

Back

The symbol for 'no solution' is typically represented as 'Ø'.

Front

What is the symbol for 'infinite solutions'?

Back

The symbol for 'infinite solutions' is represented as '∞'.

Front

How do you determine if an equation has one solution?

Back

An equation has one solution if there is exactly one value that satisfies it, often found by isolating the variable.

Front

What is an example of an equation with no solution?

Back

Front

What is an example of an equation with infinite solutions?

Back

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Back

Front

What does it mean if two equations are parallel?

Back

If two equations are parallel, they have the same slope but different y-intercepts, resulting in no solutions.