Question

Solve for f. 6f + 9g = 3g +f

Answer 1

Answer:

$f=-\frac{6g}{5}$

Step-by-step explanation:

Given: $6f + 9g = 3g +f$

To solve for the value $f,$ we need to isolate it on one side of the equal sign. Let's move the $f$ on the right side to the left side by subtracting it from both sides. We then get:

$5f + 9g = 3g$

Subtract $9g$ from both sides of the equal sign to isolate the $5f.$

$5f= -6g$

To solve for $f,$ we need to divide both sides by $5$ since it is being multiplied by $f.$

$\frac{5f}{5} =\frac{-6g}{5}\\f=-\frac{6g}{5}$