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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