One Solution, No Solution, Many Solutions

Front

What is the definition of 'One Solution' in equations?

Back

An equation has 'One Solution' when there is exactly one value of the variable that satisfies the equation.

Front

What does 'No Solution' mean in the context of equations?

Back

'No Solution' means that there is no value of the variable that can satisfy the equation, often because the two sides are contradictory.

Front

What does 'Many Solutions' indicate in an equation?

Back

'Many Solutions' indicates that there are infinitely many values of the variable that satisfy the equation, typically when the equation simplifies to a true statement.

Front

For which value of y will the equation 9x - 3 = 9x - y have an infinite number of solutions?

Back

y = 3.

Front

This type of equation has different coefficients: One Solution, Many Solutions, or No Solution?

Back

One Solution.

Front

How many solutions does the equation −5x + 5 − 4x = −1 − 9x have?

Back

No Solutions.

Front

How many solutions does the equation 4y + 5 = 4y - 7 have?

Back

No Solution.

Front

How many solutions does the equation −2x + 9 + 6x = −3x + 2 have?

Back

One Solution.

Front

What is the general form of an equation with infinitely many solutions?

Back

An equation that simplifies to a true statement, such as 0 = 0.

Front

What is an example of an equation with no solution?

Back

An equation like 2x + 3 = 2x + 5, which simplifies to 3 = 5.