7/8 Multi-Step Equations

Solve the equation:
3(x - 1) = 2x + 9

• x = 12
• no solution
• x = 10
• x = 6

Solve the equation:
4 - 6x - 2= -2(3x-1)

• no solution
• infinitely many solutions
• x = ⅓
• x = 4

Solve the equation:

2x + 1 = 2x - 1

• No Solution

• x = 0

• Infinitely Many Solutions

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

• infinite solutions
• x = 1
• x = -1
• no solution

Solve the equation:
½ (2x + 6) = 3x + 13

• no solution
• x = 8
• x = -5
• x = 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