Solving Equations with One Variable

8w - 8 = -4x + 16

• 8

• 16

• 24

• 2

-8y = -3y -15

• 3

• -3

• 5

• -5

2a -9 = 5a

• 3

• -3

• 9

• 7

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

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

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

• one

• no solutions

• 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

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

• No Solution

• One Solution

• Infinite Solutions

6x + 9 – x = 3x + 9 + x

• No Solution

• One Solution

• Infinite Solutions