No Solution, Infinitely Many Solutions or One Solution

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

• No Solution

• One Solution

• Infinite Solution

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

• No Solution

• One Solution

• Infinite Solution

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

• No Solution

• One Solution

• Infinite Solution

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

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

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

• No Solution

• One Solution

• Infinite Solutions

How many solutions would this system of equations have?

6m+18=2m+18

• No solution

• One Solution

• Infinite Solutions

What is the missing information that would make the statement true for NO solution?

• 0

• -5

• 5

• 3

y= ¾ x + 5

y= -¾ x + 5

• No Solution

• One Solution

• Infinitely Many Solutions