Choose the answer based on the most efficient method as presented in the lesson.
If the first step in the solution of the equation -9 + x = 5x - 7 is "subtract x," then what should the next step be?

subtract 5x

add 7

add 9

Respuesta :

The next one is add 7 since after you subtract x you would have -9 = 4x - 7

Answer:

Option 2 - Add 7

Step-by-step explanation:

Given : If the first step in the solution of the equation -9 + x = 5x - 7 is "subtract x,"

To find : What should the next step be?

Solution :

Expression [tex]-9 + x = 5x - 7[/tex]

Step 1 - Subtract x from both side,

[tex]-9 + x-x= 5x - 7-x[/tex]        

[tex]-9= 4x - 7[/tex]  

Step 2 - Add 7 both side,

[tex]-9+7= 4x - 7+7[/tex]  

[tex]-2= 4x[/tex]  

Step 3 - Solve,

[tex]x=\frac{-2}{4}[/tex]  

[tex]x=-\frac{1}{2}[/tex]  

So, The best next step is ''add 7 both side''

Therefore, Option 2 is correct.