How many solutions...

 $5x+4=5x+4$  

• one solution

• no solution

• infinite solutions

 $3\left(x+4\right)=3\left(x-8\right)$  

• one solution

• no solution

• infinite solutions

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

3x - 8 = 3(x - 4) + 1

• one

• no solutions

• infinite solutions

 $\frac{1}{2}\left(x+4\right)=\frac{1}{2}\left(x-8\right)$  

• one solution

• no solution

• infinite solutions

What is the solution to the equations?

• one solution
• no solution
• infinite solutions
• none of these

What is the definition of no solution?

• 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

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

What is the solution to this equation?

• one solution
• no solution
• infinite solutions
• none of these

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

• No Solution
• One Solution
• Infinite Solutions

4(x - 5) + 3 = 2(2x + 9)

• one solution
• no solution
• infinitely many solutions