Question

3x – 5 =-10

6. To solve the equation in the box for the
value of x, Michele started by adding 5 to both
sides. To get the correct answer, what must
Michele do next?
A divide both sides by 10
B. divide both sides by 3
C. multiply both sides by 10
D. multiply both sides by 3

Answer 1

After adding 5 to both sides what did Michele get? Let's see

`3x-5 + 5 = -10 + 5\\3x= -5`

If she wants to find the value of
`x` then she needs to have only the variable
`x` on the left hand side. What she must do so that
`3x` becomes just
`x`? What do you have to do to the number 3 so it becomes a 1? That's right, she must divide by 3!

So, after dividing both sides by 3:

`(3x)/(3) = (-10)/(3) \\\\\boxed{x=(-10)/(3)}`

Thus, the correct answer is letter B