How many solutions??

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation. For example, the equation 4=8 is a contradiction.

Front

What does it mean if an equation has one solution?

Back

It means there is exactly one value for the variable that satisfies the equation. For example, in the equation 2=X, X equals 2.

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that there are countless values for the variable that can satisfy the equation. For example, the equation -5=-5 is always true for any value of the variable.

Front

What is an example of an equation with no solution?

Back

An example is 4=8, which is a false statement.

Front

What is an example of an equation with one solution?

Back

An example is 2=X, where the solution is X=2.

Front

What is an example of an equation with infinitely many solutions?

Back

An example is -5=-5, which is true for all values.

Front

How can you determine if an equation has no solution?

Back

If simplifying the equation leads to a false statement, such as 4=8, it has no solution.

Front

How can you determine if an equation has one solution?

Back

If simplifying the equation leads to a true statement with a specific value for the variable, it has one solution.

Front

How can you determine if an equation has infinitely many solutions?

Back

If simplifying the equation leads to a true statement that is always true, such as -5=-5, it has infinitely many solutions.

Front

What is the significance of the equation X=0?

Back

It has one solution, which is X=0.