Question

In the following problem, Emily tried to calculate EG. However, she has made a mistake in her work. You need to identify and explain the mistake. Then, you must provide the correct solution.

Answer 1

Answer:

x = 66

Step-by-step explanation:

Emily's mistake is that part of the line is only x - 6, but she put 6x - 6

The first 6 shouldn't be there.

x - 6 = 72

x = 66

Answer 2

The actual correct answer is:

   x = 78

Step-by-step explanation:

Although the explanation above is correct, the answer is wrong. It's not 66 because you are subtracting 6 from x. This means x needs to be 6 above 72.

Here is my step-by-step solution:

x - 6 = 72       <-- Given; Corrected Equation

x - 6 + 6 = 72 + 6       <-- Addition Property of Equality

x = 78      <-- Result from Solution