Solve =200.6/232.6*225gtext{of}Hg=194.04g

$$= \frac { 200.6 } { 232.6 } \times 225 g \text { of } Hg = 194.04 g$$

Solve for H

$$\left\{\begin{matrix}H=\frac{626857}{626875g}\text{, }&g\neq 0\\H\in \mathrm{R}\text{, }&g=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply g and g to get g^{2}.

$$\frac{200.6}{232.6}\times 225g^{2}H=194.04g$$

Expand \frac{200.6}{232.6} by multiplying both numerator and the denominator by 10.

$$\frac{2006}{2326}\times 225g^{2}H=194.04g$$

Reduce the fraction \frac{2006}{2326} to lowest terms by extracting and canceling out 2.

$$\frac{1003}{1163}\times 225g^{2}H=194.04g$$

Multiply \frac{1003}{1163} and 225 to get \frac{225675}{1163}.

$$\frac{225675}{1163}g^{2}H=194.04g$$

The equation is in standard form.

$$\frac{225675g^{2}}{1163}H=\frac{4851g}{25}$$

Divide both sides by \frac{225675}{1163}g^{2}.

$$\frac{1163\times \frac{225675g^{2}}{1163}H}{225675g^{2}}=\frac{4851g}{25\times \frac{225675g^{2}}{1163}}$$

Dividing by \frac{225675}{1163}g^{2} undoes the multiplication by \frac{225675}{1163}g^{2}.

$$H=\frac{4851g}{25\times \frac{225675g^{2}}{1163}}$$

Divide \frac{4851g}{25} by \frac{225675}{1163}g^{2}.

$$H=\frac{626857}{626875g}$$

Solve for g

$$\left\{\begin{matrix}\\g=0\text{, }&\text{unconditionally}\\g=\frac{626857}{626875H}\text{, }&H\neq 0\end{matrix}\right.$$