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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)

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Verified Answer :

cpmaster89
  1. Charlie's solution is incorrect because Charlie subtracted 5 instead of dividing 5. Charlie should do Step 1: 5x = 30
                                                 
                                                  Step 2: x = 30÷5

                                                  Step 3: x = 6

    2. This equation has 1 solution

Answer: A) Yes, his solution is incorrect.

B) The given equation has 1 solution.

Step-by-step explanation:

A) Here, the given expression is,

\(5 x = 30\)

Thus, the steps of solving the given expression are as follow,

Step 1: \(5 x = 30\)

Ste 2 : \(x=\frac{30}{5}\)

Step 3 : \(x = 6\)

Hence, by the above explanation,

It is clear that the given steps of the solution are incorrect.

B) Since, x has only one value which is 6,

Hence, the given expression has only one solution.

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