One Solution, No Solution, Infinite Solutions

Front

Solve: 2x + 1 = 2x - 1

Back

No Solution

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

Solve: 3(x-2) + 1 = 3x - 5

Back

Infinite Solutions

Front

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

Back

Infinitely Many Solutions

Front

Simplify each equation. Tell whether the equation has one, no, or infinite solutions: 3x - 8 = 3(x - 4) + 1

Back

No Solutions

Front

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

Back

The equation is true for all values of the variable.

Front

What is an example of an equation with one solution?

Back

x + 2 = 5 (Solution: x = 3)

Front

What is the definition of one solution?

Back

Only this ONE solution will make the equation true.

Front

What is an example of an equation with no solution?

Back

2x + 3 = 2x - 5 (No value of x will satisfy this equation.)

Front

What does it mean if an equation has no solution?

Back

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