Masha solved an equation, as shown below:

Question

Step 1: 8x = 64
Step 2: x = 64 − 8
Step 3: x = 76

Part A: Is Masha'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 does this equation have? (4 points)

Answer 1

Part A: Masha's solution is incorrect. In Step 2, she subtracted 8 from 64 instead of dividing by 8. The correct steps to solve the equation 8x = 64 are as follows:

Step 1: 8x = 64
Step 2: x = 64 / 8
Step 3: x = 8

Therefore, the correct solution to the equation is x = 8.

Part B: This equation has only one solution, which is x = 8.