Respuesta :

Answer:

c = (3 f)/y - (12 m)/y

Step-by-step explanation:

Solve for c:

8 m + (2 c y)/3 = 2 f

Subtract 8 m from both sides:

(2 c y)/3 = 2 f - 8 m

Divide both sides by (2 y)/3:

Answer: c = (3 f)/y - (12 m)/y

The solution for c in the given equation is [tex]c = \frac{3f-12m}{y}[/tex]

From the question,

The given equation is 2/3cy+8m =2f

To solve for c in the equation,

First, let us write the equation properly

The equation written properly is

[tex]\frac{2}{3} cy+8m=2f[/tex]

Now, to solve for c

First, multiply through by 3

That is,

[tex]3\times \frac{2}{3} cy+3\times 8m=3\times 2f[/tex]

This becomes

[tex]2cy + 24m = 6f[/tex]

Now, subtract 24m from both sides of the equation

[tex]2cy + 24m -24m = 6f -24m[/tex]

Then, we get

[tex]2cy = 6f-24m[/tex]

Now, divide both sides of the equation by 2y

[tex]\frac{2cy}{2y}= \frac{6f-24m}{2y}[/tex]

∴ [tex]c= \frac{6f-24m}{2y}[/tex]

Then, we can write that

[tex]c = \frac{2(3f-12m)}{2y}[/tex]

∴[tex]c = \frac{3f-12m}{y}[/tex]

Hence, the solution for c in the given equation is [tex]c = \frac{3f-12m}{y}[/tex]

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