Masha solved an equation, as shown below:
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)
Plese Explain in 1-2 sentences.
Part A: Masha's solution is incorrect. In Step 2, she subtracted 8 from 64 instead of dividing both sides of the equation by 8. The correct steps to solve the equation are as follows:
Step 1: 8x = 64
Step 2: x = 64 / 8
Step 3: x = 8
Part B: This equation has only one solution. This can be determined by the fact that each value of x results in one unique solution to the equation 8x = 64.