Question

Solve for F: (5F+8)/G=(3R-1)/S

Answer 1

To solve for F in the equation (5F+8)/G=(3R-1)/S, multiply both sides by G and S, distribute S, subtract 8S from both sides, and finally divide by 5S.

Step-by-step explanation:

To solve for F in the equation (5F+8)/G=(3R-1)/S, we need to isolate F on one side of the equation.

1. Multiply both sides by G to get rid of the denominator on the left side: 5F + 8 = (3R - 1)G/S.
2. Multiply both sides by S to get rid of the denominator on the right side: S(5F + 8) = (3R - 1)G.
3. Distribute S on the left side: 5SF + 8S = (3R - 1)G.
4. Subtract 8S from both sides to isolate the term with F: 5SF = (3R - 1)G - 8S.
5. Finally, divide both sides by 5S to solve for F: F = ((3R - 1)G - 8S) / (5S).

Now F is isolated, and the equation expresses F in terms of R, G, and S.