Question

Jordan solved the equation −7x + 25 = 48; his work is shown below. Identify the error and where it was made. −7x + 25 = 48 Step 1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23 Step 3: negative seven times x over seven = twenty-three over seven Step 4: x = twenty-three over seven

Answer 1

Step 3.
He should have divided by -7 to get rid of the negative sign as well in the -7.

Hope this helps :)

Answer 2

The wrong step is step 3 negative seven times x over seven = twenty-three over seven

Explanation:

Consider the provided equation.

`- 7x + 25 = 48`

Step 1: Subtract both the side by 25.

`- 7x + 25 - 25 = 48 - 25`

Step 2:

`- 7x = 23`

Step 3: Divide both the side by -7.

`(-7x)/(-7) =(23)/(-7)`

Step 4: Now simplify for x.

`x =-(23)/(7)`

Now compare the above steps with the steps given in the question.

By observing it can be said that the wrong step is step 3.

It should be negative seven times x over negative seven = twenty-three over negative seven.

Hence, the wrong step is step 3 negative seven times x over seven = twenty-three over seven.