Select the correct answer.

Which equation is true for the value [tex][tex]$b = 2$[/tex][/tex]?

A. [tex][tex]$2b + 24 = 30$[/tex][/tex]
B. [tex][tex]$3b - 2 = 4$[/tex][/tex]
C. [tex][tex]$b + 4 = 8$[/tex][/tex]
D. [tex][tex]$2b - 3 = 0$[/tex][/tex]



Answer :

Let's evaluate each equation step by step using the given value [tex]\( b = 2 \)[/tex]:

1. Equation A: [tex]\( 2b + 24 = 30 \)[/tex]

Substitute [tex]\( b = 2 \)[/tex]:
[tex]\[ 2(2) + 24 = 4 + 24 = 28 \neq 30 \][/tex]
So, Equation A is not true.

2. Equation B: [tex]\( 3b - 2 = 4 \)[/tex]

Substitute [tex]\( b = 2 \)[/tex]:
[tex]\[ 3(2) - 2 = 6 - 2 = 4 \][/tex]
So, Equation B is true.

3. Equation C: [tex]\( b + 4 = 8 \)[/tex]

Substitute [tex]\( b = 2 \)[/tex]:
[tex]\[ 2 + 4 = 6 \neq 8 \][/tex]
So, Equation C is not true.

4. Equation D: [tex]\( 2b - 3 = 0 \)[/tex]

Substitute [tex]\( b = 2 \)[/tex]:
[tex]\[ 2(2) - 3 = 4 - 3 = 1 \neq 0 \][/tex]
So, Equation D is not true.

Based on the evaluations, the correct answer is:
[tex]\[ \text{B. } 3b - 2 = 4 \][/tex]