How do I solve [tex]\frac{f+4}{g}=6[/tex] for [tex]f[/tex], showing my work?

1. Multiply both sides by [tex]g[/tex]:
\[ \frac{f+4}{g} \times g = 6 \times g \]
\[ f + 4 = 6g \]

2. Subtract 4 from both sides:
\[ f + 4 - 4 = 6g - 4 \]
\[ f = 6g - 4 \]

You need to isolate f. g f + 4 ​ = 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. ( g f + 4 ​ ) ∗ g = ( 6 ) ∗ g f + 4 = 6 g
Then, you need to subtract 4 from both sides to undo the addition of 4 to f on the left: ( f + 4 ) − 4 = ( 6 g ) − 4 f = 6 g − 4
And there you have it! f = 6g - 4. Hope this helps! :)

Answered by kittymaniac | 2024-06-10

We have two solutions for this problem based on the given equation.
Answer #1:
If the given equation was:
f + g 4 ​ = 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 g 4 ​ from both sides of the equation
This would give:
f + g 4 ​ - g 4 ​ = 6 - g 4 ​
f = 6 - g 4 ​
Answer #2:
If the given equation was:
g f + 4 ​ = 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:
g f + 4 ​ = 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 :)

Answered by Louli | 2024-06-11

To solve g f + 4 ​ = 6 for f , first multiply both sides by g to get f + 4 = 6 g . Then subtract 4 from both sides to isolate f , resulting in f = 6 g − 4 .
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Answered by Louli | 2024-09-30