Solving Equations with One Solution, No Solution, Infinite Solutions

What is the solution to this equation?

• one solution
• no solution
• infinite solutions
• none of these

What is the solution to the equations?

• one solution
• no solution
• infinite solutions
• none of these

^{Find the solution to the equation:
-13 + 5a = 3(a - 3)}

• a = 5
• a = 9
• a = 0
• a = 2

Solve:
2x + 1 = 2x - 1

• No Solution
• x = 0
• Infinitely Many Solutions

Solve:
3x + 15 = 3(x + 5)

• No Solution
• x = 15
• Infinitely Many Solutions

4x + 10 = -26

• 4
• -4
• -9
• 9

2 + 14a = -8 + 9a

• -2
• 3
• 5
• -10

3(3x - 6) = 18

• x = 4

• x = -4

• x = 0

• x = -12

2 (x - 4) =18

• x = 20

• x = 7

• x = 11

• x = 13

What is the 2nd step in solving the following equation?

Original equation: 3x + 7 = x - 21

Step 1: 2x + 7 = -21

Step 2:

• Divide both sides by 2

• add 7 to both sides

• Subtract 7 from both sides

• Subtract 21 from both sides