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:

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

Subtracting 100 from both sides:

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

Multiplying through by $-1$:

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

Multiplying through by the denominator:

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

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

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

Subtracting $1$ from both sides:

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

Writing everything over a common denominator:

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

Simplifying:

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

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

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

Which means that:

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

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

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

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

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