Infinite Solution

Solve the equation: 3x - 12 = 2(x-6)+x Does it have one, none, or infinite solutions?

• One Solution

• No Solution

• Infinite Solutions

When solving an equation and we get

-9 = -9

This means the equation has:

• One Solution

• No Solution

• Infinite Solutions

What is the definition of infinite solutions?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true

• no matter what constant is substituted in for the variable, the equation will NEVER be true

• only this ONE solution will make the equation true

7x + 7 = 7x + 7

• No Solution

• Infinite Solutions

• One Solution

2x + 2x + 4 = 4x + 4

• No Solution

• Infinite Solutions

• One Solution

2(2x + 5) = 4x + 10

• No Solution

• Infinite Solutions

• One Solution

6x - 18 = 4(2x - 3) - (2x + 6)

• No Solution

• One Solution

• Infinite Solution

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

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

• one

• no solutions

• infinite solutions

12 (x + 3 ) = 4 (2x + 9 ) +4x

• No Solution

• One Solution

• Infinite Solutions

-5(2x - 4) = 2(10 - 5x)

• No Solution

• One Solution

• Infinite Solution