Question

(07.01 MC)

Charlie solved an equation, as shown below:

Step 1: 5x = 30
Step 2: x = 30 − 5
Step 3: x = 25

Part A: Is Charlie's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points)

Part B: How many solutions will this equation have? (4 points)

Answer 1

Charlie's solution is incorrect.

Part A: The equation must be divided by the number next to the variable. So 5x will be divided by 5 which will equal x, and 30 will be divided by 5 which equals 6. The final answer will be x=6.

Part B: The equation will have one solution because there is only one way to solve it.