Determining the Number of Solutions to an Equation

Determine the type of solution you will have if you get
-6=6

• one solution

• infinite solution=identity

• no solution

• I don't know.  I need to study.

How many solutions does this equation have?

• No Solution

• Infinite Solution

• One Solution

• 37 solutions

5 - 2(x - 1) = 2(3 - x) + 7

• No Solution

• One Solution

• Infinitely Many Solutions

3(x - 2) = 2(x - 3) + x

• No Solution

• One Solution

• Infinitely Many Solutions

5(x-4) = 3(2x-5)

• No Solution

• One Solution

• Infinitely Many Solutions

Solve.

• infinitely many solutions

• v = 0

• No solution

• v = 4

Solve.

• v = 4

• infinitely many solutions

• No solution

• v = 6

Solve the equation.

5 + 2(n + 1) = 2n

• The equation has many solutions.

• The equation has exactly one solution, n = 7.

• The equation has no solution.

• The equation has exactly one solution, n = 0.

For the equation 3(2x - 5) = 6x - k, which value of k will create an equation with infinite solutions?

• 15

• -5

• 5

• -15

Determine the type of solution you will have if you get
x=0.25

• one solution

• infinite solution=identity

• no solution

• I don't know.  I need to study.