Solve for V₂ V_1/T_1=V_2/T_2

$\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$

Rewrite the equation as $\frac{V_{2}}{T_{2}} = \frac{V_{1}}{T_{1}}$ .

$\frac{V_{2}}{T_{2}} = \frac{V_{1}}{T_{1}}$

Multiply both sides by $T_{2}$ .

$\frac{V_{2}}{T_{2}} T_{2} = \frac{V_{1}}{T_{1}} T_{2}$

Simplify.

Simplify the left side.

Cancel the common factor of $T_{2}$ .

Cancel the common factor.

$\frac{V_{2}}{T_{2}} T_{2} = \frac{V_{1}}{T_{1}} T_{2}$

Rewrite the expression.

$V_{2} = \frac{V_{1}}{T_{1}} T_{2}$

Simplify the right side.

Combine $\frac{V_{1}}{T_{1}}$ and $T_{2}$ .

$V_{2} = \frac{V_{1} T_{2}}{T_{1}}$