Respuesta :

Answer:

x = [tex]\frac{m}{k-n}[/tex]

Step-by-step explanation:

Given

kx = m + nx ( subtract nx from both sides )

kx - nx = m ← factor out x from each term on the left side

x(k - n) = m ← divide both sides by (k - n)

x = [tex]\frac{m}{k-n}[/tex]

Solving for x in the equation, kx = m + nx, we would make x the subject of the formula to solve for x as: [tex]\mathbf{x = \frac{m}{k - n}}[/tex]

Given:

kx = m + nx

  • We are require to make x the subject of the formula.

  • Thus:

[tex]kx = m + nx[/tex]

  • Subtract nx to both sides of the equation

[tex]kx - nx = m + nx - nx\\\\kx - nx = m[/tex]

  • Factor out x on the left side

[tex]x(k - n) = m[/tex]

  • Divide both sides by (k - n)

[tex]\frac{x(k - n)}{k - n} = \frac{m}{k - n} \\\\x = \frac{m}{k - n}[/tex]

Therefore, solving for x in the equation, kx = m + nx, we would make x the subject of the formula to solve for x as: [tex]\mathbf{x = \frac{m}{k - n}}[/tex]

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