Respuesta :

Answer:

b = 2

Step-by-step explanation:

In order to find the value of b, we have to isolate b on one side of equation first

So,

[tex]3b+2(b-1)=8[/tex]

Multiplying 2 with b-1

[tex]3b+2b-2=8\\5b-2=8[/tex]

Adding 2 on both sides

[tex]5b-2+2=8+2\\5b=10[/tex]

Dividing by 5 on both sides

[tex]\frac{5b}{5}=\frac{10}{5} \\b=2[/tex]

So the value of b is 2 ..

ANSWER

The value of b is 2

EXPLANATION

The given linear equation in b is

[tex]3b + 2(b - 1) = 8[/tex]

We expand to get:

[tex]3b + 2b - 2= 8[/tex]

We now group similar terms to obtain:

[tex]3b + 2b = 8 + 2[/tex]

Combine the similar terms now to obtain:

[tex]5b = 10[/tex]

Divide both sides by 5 to get:

[tex]b = \frac{10}{5} [/tex]

This simplifies to:

[tex]b = 2[/tex]