Solve for g:
R=(gs)/(g+s)
I don't usderstand how to isolate the g from the rest of the variables
just clear the fractions and remove the parentheses. Then it's easy:
r(g+s) = gs
rg+rs = gs
rs = g(s-r)
g = rs/(s-r)
G= rs/s-r
The question i have in my book is basically the same was:
R(g+s)=gs solve for g
I also dont know how to get that answer but thats what my book says i just need to find how to get there.
To isolate the variable g in the equation R=(gs)/(g+s), you can follow these steps:
1. Begin by multiplying both sides of the equation by (g+s) to eliminate the denominator:
R(g+s) = gs
2. Distribute R to both terms inside the parentheses:
Rg + Rs = gs
3. Now, let's try to isolate g by moving all terms containing g to one side of the equation. Subtract gs from both sides:
Rg - gs + Rs = 0
4. Notice that Rg and -gs share a common g term. Factor out g:
g(R - s) + Rs = 0
5. Finally, divide both sides of the equation by (R - s) to solve for g:
g = -Rs / (R - s)
Therefore, the solution for g in terms of R and s is:
g = -Rs / (R - s)
Remember to pay attention to the original equation and perform the same operations on both sides to ensure the equation remains balanced at each step.