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.

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.

Front

Solve for x: 3x = 9

Back

x = 3 (One Solution)

Front

Solve for y: 8y - 4 = 8y - 4

Back

Many Solutions (the equation is always true)

Front

Solve for x: 3x = x + 4

Back

x = 2 (One Solution)

Front

Solve for x: 6x - 3 = 6x + 9

Back

No Solution (the equation is contradictory)

Front

Solve for y: 4y = 16

Back

y = 4 (One Solution)

Front

What is an example of an equation with No Solution?

Back

An example is 2x + 3 = 2x - 5.

Front

What is an example of an equation with Many Solutions?

Back

An example is 5x + 2 = 5x + 2.