Respuesta :

Answer:

[tex]n=\frac{3f-8}{10}[/tex]

Step-by-step explanation:

So we have the equation:

[tex]\frac{3}{4}f-\frac{5}{2}n=2[/tex]

First, remove all the fractions by multiplying by the LCM of the denominator.

The LCM of 4 and 2 is 4. Thus:

[tex]4(\frac{3}{4}f-\frac{5}{2}n)=4(2)[/tex]

Distribute:

[tex]4(\frac{3}{4}f})-4(\frac{5}{2}n})=4(2)[/tex]

Simplify:

[tex]3f-10n=8[/tex]

Subtract 3f from both sides:

[tex](3f-10n)-3f=(8)-3f\\-10n=8-3f[/tex]

Divide both sides by -10:

[tex]n=\frac{8-3f}{-10}[/tex]

Divide by -1:

[tex]n=\frac{3f-8}{10}[/tex]

And this is our answer :)

  • Answer:

n = (3f - 8)/10

  • Step-by-step explanation:

3f/4 - ²⁾5n/2 = ⁴⁾2

3f - 10n = 8

3f - 8 = 10n

n = (3f - 8)/10

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