Solving Equations: Special Cases (menu)

Front

What is the definition of 'No Solution'?

Back

No matter how many different numbers you substitute for the variable, both sides will NEVER be equal.

Front

What is the definition of 'One Solution'?

Back

There will only be ONE number that will make both sides equal.

Front

What is the definition of 'Infinitely Many Solutions'?

Back

You can put any number into the equation and both sides will be TRUE.

Front

Solve the equation: -4(3x + 2) = 3(-4x + 5)

Back

No Solution

Front

Solve the equation: 2x + 3 = 2x + 5

Back

No Solution

Front

Solve the equation: 5x - 2 = 3x + 6

Back

One Solution: x = 4

Front

Solve the equation: 2(x + 3) = 2x + 6

Back

Infinitely Many Solutions

Front

What does it mean if an equation has 'No Solution'?

Back

The lines represented by the equations are parallel and never intersect.

Front

What does it mean if an equation has 'One Solution'?

Back

The lines represented by the equations intersect at exactly one point.

Front

What does it mean if an equation has 'Infinitely Many Solutions'?

Back

The lines represented by the equations are the same line.