No, One, Infinity Solutions

-2(3m + 6) = -3(4 +2m)

• No Solution

• One Solution

• Infinite Solution

2 (15c + 8) = 9(2c + 4) - (3c + 2)

• No Solution

• One Solution

• Infinite Solution

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

• No Solution

• One Solution

• Infinite Solution

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

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
5x + 6 = 2 + 3x

• one

• no solutions

• infinite solutions

What is the definition of one 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

8z - 22 = 3 ( 3z + 11) -z

• No Solution

• One Solution

• Infinite Solutions

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

• No Solution

• One Solution

• Infinite Solutions

-10y-6 = -10y-6

• No Solution

• One Solution

• Infinite Solutions