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]