One Solution, No Solution, or Infinite Solutions

Front

What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that can make the equation true.

Front

What does it mean if an equation has one solution?

Back

It means that there is exactly one value for the variable that makes the equation true.

Front

What does it mean if an equation has infinite solutions?

Back

It means that any value for the variable will satisfy the equation, making it always true.

Front

Solve: 8z - 22 = 3(3z + 11) - z

Back

No Solution

Front

Solve: 3x + 15 = 3(x + 5)

Back

Infinitely Many Solutions

Front

Solve: 12(y + 2) = 6(2y + 4)

Back

Infinite Solutions

Front

Solve: -10y - 6 = -10y - 6

Back

Infinite Solutions

Front

What is the definition of infinite solutions?

Back

No matter what constant is substituted in for the variable, the equation is ALWAYS true.

Front

What is the definition of no solution?

Back

No matter what constant is substituted in for the variable, the equation will NEVER be true.

Front

What is the definition of one solution?

Back

Only this ONE solution will make the equation true.