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 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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Answer 1

Answer: A) Yes, his solution is incorrect.

B) The given equation has 1 solution.

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=(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.