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how do I solve f+4/g=6 for f showing my work

Sagot :

kittymaniac
You need to isolate f.
[tex]\frac{f + 4}{g} = 6[/tex]

First, you need to multiply by g on both sides to "undo" the dividing by g on the left. You need to make sure you do the same thing to both sides to keep the equation equal.
[tex](\frac{f + 4}{g})*g = (6) * g \\ f + 4 = 6g[/tex]

Then, you need to subtract 4 from both sides to undo the addition of 4 to f on the left:
[tex](f + 4) - 4 = (6g) - 4 \\ f = 6g - 4[/tex]

And there you have it! f = 6g - 4. Hope this helps! :)
Louli

We have two solutions for this problem based on the given equation.


Answer #1:

If the given equation was:

[tex] f + \frac{4}{g} = 6 [/tex]


To solve for f, we would need to isolate the "f" on one side of the equation.

In case of the above equation, we can simply do that by subtracting [tex] \frac{4}{g} [/tex] from both sides of the equation

This would give:

f + [tex] \frac{4}{g} [/tex] - [tex] \frac{4}{g} [/tex] = 6 - [tex] \frac{4}{g} [/tex]

f = 6 - [tex] \frac{4}{g} [/tex]


Answer #2:

If the given equation was:

[tex] \frac{f+4}{g} = 6 [/tex]


To solve for f, we would still need to isolate the "f" on one side of the equation.

This can be done as follows:

[tex] \frac{f+4}{g} = 6 [/tex] ................> multiply both sides by (g)

f + 4 = 6g ................> subtract 4 from both sides of the equation

f + 4 - 4 = 6g - 4

f = 6g - 4


Hope this helps :)

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