Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Consider the equation below.

Answer 1

If we divide both sides by -2, we have

`bx-5 = -8 \iff bx = -3 \iff x = -(3)/(b)`

So, if you choose b=3, you have x = -3/3=-1

Answer 2

a)

The value of x in terms of b is:

`x=(-3)/(b)`

b)

The value of x when b is 3 is:

`x=-1`

Explanation:

We are given a equation in terms of x and b as follows:

`-2(bx-5)=16-----------(1)`

a)

Now on simplifying the equation i.e. we solve for x i.e. we find the value of x in terms of b as follows:

On dividing both side of the equation by -2 we get:

`bx-5=-8`

Now on adding both side by 5 we get:

`bx=-8+5\\\\\\bx=-3`

Now, on dividing both side of the equation by b we get:

`x=(-3)/(b)------------(2)`

b)

when b=3 in equation (2) we have:

`x=(-3)/(3)\\\\\\x=-1`