Question

Corinne solved the equation below:

Answer 1

Corinne's solution is not correct. In this case, she was supposed to divide each side by 5 in order to isolate x appropriately.

5x = 95

5x / 5 = 95 / 5

x = 19

Answer 2

Answer:  No, Corinne is not correct. The explanation is given below.

Step-by-step explanation:  The steps of Corinne's solution are as follows:

Step 1 : 5x = 95  

Step 2 : 5x − 5 = 95 − 5  

Step 3 : x = 90

We are to check whether Corinne is correct or not. If yes, we are to explain.

Corinne's solution is incorrect, because in step 2, Corinne should divide both sides by 5, rather than subtracting 5.

Also, in step 3, she has written (5x - 5) = x, which is incorrect, because (5x - 5) = 5(x - 1).

So, both the steps 2 and 3 are incorrect.

The correct solution is as follows:

$5x=95\\\\\Rightarrow \dfrac{5x}{5}=\dfrac{95}{5}\\\\\Rightarrow x=19.$

Thus, Corinne is incorrect because in place of dividing both sides by 5, she subtracted 5 from both sides.