1. ## Please arrange and solve Equation

Solve for Tg ...

R=100-(100/(1+S)

sub:
S=G/L

sub:
G=(Yg+Tg)/2
L=(Ys+Ts)/2

2. ## Re: Please arrange and solve Equation

Start by solving for S:

$\displaystyle R=100-\frac{100}{1+S}$

Subtracting 100 from both sides:

$\displaystyle R-100=-\frac{100}{1+S}$

Multiplying through by $\displaystyle -1$:

$\displaystyle 100-R=\frac{100}{1+S}$

Multiplying through by the denominator:

$\displaystyle (100-R)(1+S)=100$

Dividing both sides by $\displaystyle (100-R)$:

$\displaystyle 1+S=\frac{100}{100-R}$

Subtracting $\displaystyle 1$ from both sides:

$\displaystyle S=\frac{100}{100-R}-1$

Writing everything over a common denominator:

$\displaystyle S=\frac{100-(100-R)}{100-R}$

Simplifying:

$\displaystyle S=\frac{R}{100-R}$

$\displaystyle S=\frac{G}{L}$, so:

$\displaystyle \frac{G}{L}=\frac{R}{100-R}$

Which means that:

$\displaystyle G=\frac{R\cdot{L}}{100-R}$

$\displaystyle G=\frac{Yg+Tg}{2}$, so:

$\displaystyle \frac{Yg+Tg}{2}=\frac{R\cdot{L}}{100-R}$

See if you can take it from here, using a similar approach. Don't substitute for L until you've solved for $\displaystyle Tg$

3. ## Re: Please arrange and solve Equation

Originally Posted by goldbh
Solve for Tg ...
R=100-(100/(1+S)
sub:
S=G/L
sub:
G=(Yg+Tg)/2
L=(Ys+Ts)/2