Question

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 inccorect an show the correct steps to solve the equation.

Part B: How many solutions will this equation have?

Answer 1

Charlie's solution is incorrect. He did step 2 incorrectly. Because the equation is 5x = 30, he needs to divide by 5 instead of subtract 5 from both sides.

If this was done correctly, it would like like this:

Step 1: 5x = 30
Step 2: x = 30/5
Step 3: x = 6

This equation will only have one solution, x = 6.