how do I solve f+4/g=6 for f showing my work
You need to isolate f.
\(\frac{f + 4}{g} = 6\)
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.
\((\frac{f + 4}{g})*g = (6) * g \\ f + 4 = 6g\)
Then, you need to subtract 4 from both sides to undo the addition of 4 to f on the left:
\((f + 4) - 4 = (6g) - 4 \\
f = 6g - 4\)
And there you have it! f = 6g - 4. Hope this helps! :)
We have two solutions for this problem based on the given equation.
Answer #1:
If the given equation was:
\(f + \frac{4}{g} = 6\)
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 \(\frac{4}{g}\) from both sides of the equation
This would give:
f + \(\frac{4}{g}\) - \(\frac{4}{g}\) = 6 - \(\frac{4}{g}\)
f = 6 - \(\frac{4}{g}\)
Answer #2:
If the given equation was:
\(\frac{f+4}{g} = 6\)
To solve for f, we would still need to isolate the "f" on one side of the equation.
This can be done as follows:
\(\frac{f+4}{g} = 6\) ................> 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 :)