Solve frac{H_{1}}{W_{1}}=frac{H_{2}}{W_{2}}Rightarrow2/20=frac{H_{2}}{120}

$$\frac { H _ { 1 } } { W _ { 1 } } = \frac { H _ { 2 } } { W _ { 2 } } \Rightarrow \frac { 2 } { 20 } = \frac { H _ { 2 } } { 120 }$$

Solve for H_1

$$H_{1}=\frac{H_{2}W_{1}}{W_{2}}$$

$$W_{1}\neq 0\text{ and }W_{2}\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by W_{1}W_{2}, the least common multiple of W_{1},W_{2}.

$$W_{2}H_{1}=W_{1}H_{2}$$

The equation is in standard form.

$$W_{2}H_{1}=H_{2}W_{1}$$

Divide both sides by W_{2}.

$$\frac{W_{2}H_{1}}{W_{2}}=\frac{H_{2}W_{1}}{W_{2}}$$

Dividing by W_{2} undoes the multiplication by W_{2}.

$$H_{1}=\frac{H_{2}W_{1}}{W_{2}}$$

Solve for H_2

$$H_{2}=\frac{H_{1}W_{2}}{W_{1}}$$

$$W_{1}\neq 0\text{ and }W_{2}\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by W_{1}W_{2}, the least common multiple of W_{1},W_{2}.

$$W_{2}H_{1}=W_{1}H_{2}$$

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

$$W_{1}H_{2}=W_{2}H_{1}$$

The equation is in standard form.

$$W_{1}H_{2}=H_{1}W_{2}$$

Divide both sides by W_{1}.

$$\frac{W_{1}H_{2}}{W_{1}}=\frac{H_{1}W_{2}}{W_{1}}$$

Dividing by W_{1} undoes the multiplication by W_{1}.

$$H_{2}=\frac{H_{1}W_{2}}{W_{1}}$$