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Solve the equation for the specified variable.

[tex]\[ \frac{M}{2} - 6.7 = 2.3B \text{ for } M \][/tex]

[tex]\[ M = \square \][/tex]


Sagot :

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]
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