No Solution or One Solution

• No Solution

• One Solution

• 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

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

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

What is the missing information that would make the statement FALSE for One solution?

• x

• 2x

• 3x

• 4x

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

• one

• no solutions

• infinite solutions

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

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

• one

• no solutions

• infinite solutions

Solve the equation: 2x + 3 = 2x - 1

• x = 2

• x = -2

• Infinite solutions.

• No solution

Solve the equation: 2(2x + 1) = 4(x - 3)

• x = 0

• No solution

• x = 1

• x = -1