Respuesta :

If we divide both sides by -2, we have

[tex]bx-5 = -8 \iff bx = -3 \iff x = -\dfrac{3}{b}[/tex]

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

Answer:

a)

       The value of x in terms of b is:

                [tex]x=\dfrac{-3}{b}[/tex]

b)

         The value of x when b is 3 is:

                      [tex]x=-1[/tex]

Step-by-step explanation:

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

           [tex]-2(bx-5)=16-----------(1)[/tex]

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:

[tex]bx-5=-8[/tex]

Now on adding both side by 5 we get:

[tex]bx=-8+5\\\\\\bx=-3[/tex]

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

          [tex]x=\dfrac{-3}{b}------------(2)[/tex]

b)

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

              [tex]x=\dfrac{-3}{3}\\\\\\x=-1[/tex]