Multistep Equations and Types of Solutions

How many solutions will this equation have?

• one solution

• no solution

• infinite solutions

• none of these

Identify the type of solution.

• Infinite solutions

• One solution

• No solution

-1+2x =6x+11

• -3

• 3

• 5

• 9

3r - 5 = 2r

• No solution

• Infinitely many solutions

• r = 5

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

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

• one

• no solutions

• infinite solutions

How many solutions does this equation have?  3x + 2 = 3x + 2

• One Solution

• No Solution

• Infinite Solutions

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