Respuesta :

Solving for m in the given equation, 8 = m+3c / m-f:

  • [tex]\mathbf{m = \frac{3c - 8f}{7} }[/tex]

Given the equation, 8 = m+3c / m-f, to solve for m, we need to make m the subject of the formula by solving as shown below:

[tex]8 = \frac{m+3c}{m-f}[/tex]

  • Multiply both sides by (m - f)

[tex]8(m-f) = \frac{m+3c}{m-f} \times (m-f)\\\\8m - 8f = m + 3c[/tex]

  • Add -8f to both sides

8m - 8f + 8f = m + 3c - 8f

8m = m + 3c - 8f

  • Subtract m from both sides

8m - m = m + 3c - 8f - m

7m = 3c - 8f

  • Divide both sides by 7

[tex]\mathbf{m = \frac{3c - 8f}{7} }[/tex]

Therefore, solving for m in the given equation, 8 = m+3c / m-f:

  • [tex]\mathbf{m = \frac{3c - 8f}{7} }[/tex]

Learn more here:

https://brainly.com/question/17048687

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