Solving Equations: Special Cases (menu)

Front

What is the solution to the equations with the same coefficients and different constants?

Back

No solution.

Front

What is the solution to the equations with the same coefficients and the same constants?

Back

Infinitely many solutions.

Front

Solve: 2x + 4 = 2(x + 2)

Back

Infinitely Many Solutions.

Front

What is the definition of one solution?

Back

Only 1 value for the variable will make both sides equal.

Front

Solve: 5x - 10 = 5(x - 2)

Back

Infinitely Many Solutions.

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 infinitely many solutions?

Back

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

Front

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

Back

Infinitely Many Solutions.

Front

How many solutions does the equation 4x - 3 = 3(2x + 3) have?

Back

One solution.

Front

What happens when you simplify an equation and both sides are equal?

Back

It has infinitely many solutions.