Let's solve the equation [tex]\(\frac{M}{2} - 6.7 = 2.3 B\)[/tex] for [tex]\(M\)[/tex].
1. Start with the given equation:
[tex]\[
\frac{M}{2} - 6.7 = 2.3 B
\][/tex]
2. To isolate the term involving [tex]\(M\)[/tex], add 6.7 to both sides of the equation:
[tex]\[
\frac{M}{2} = 2.3 B + 6.7
\][/tex]
3. Now, to solve for [tex]\(M\)[/tex], multiply both sides of the equation by 2:
[tex]\[
M = 2 \left( 2.3 B + 6.7 \right)
\][/tex]
4. Distribute the 2 on the right-hand side:
[tex]\[
M = 2 \times 2.3 B + 2 \times 6.7
\][/tex]
5. Calculate the products:
[tex]\[
M = 4.6 B + 13.4
\][/tex]
So, the expression solved for [tex]\(M\)[/tex] is:
[tex]\[
M = 4.6 B + 13.4
\][/tex]
Given a specific value of [tex]\(B = 1\)[/tex]:
[tex]\[
M = 4.6 \times 1 + 13.4
\][/tex]
[tex]\[
M = 4.6 + 13.4
\][/tex]
[tex]\[
M = 18.0
\][/tex]
Thus, the value of [tex]\(M\)[/tex] when [tex]\(B = 1\)[/tex] is:
[tex]\[
M = 18.0
\][/tex]
