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]
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]
