Solve G=Ae^-lambdat

$$G = A e ^ { - \lambda t }$$

Solve for A

$$A=Ge^{t\lambda }$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$Ae^{\left(-\lambda \right)t}=G$$

Reorder the terms.

$$Ae^{-t\lambda }=G$$

The equation is in standard form.

$$\frac{1}{e^{t\lambda }}A=G$$

Divide both sides by e^{-t\lambda }.

$$\frac{\frac{1}{e^{t\lambda }}Ae^{t\lambda }}{1}=\frac{Ge^{t\lambda }}{1}$$

Dividing by e^{-t\lambda } undoes the multiplication by e^{-t\lambda }.

$$A=\frac{Ge^{t\lambda }}{1}$$

Divide G by e^{-t\lambda }.

$$A=Ge^{t\lambda }$$

Solve for G

$$G=\frac{A}{e^{t\lambda }}$$