Solve for p₂ p_1v_1=p_2v_2

$p_{1} v_{1} = p_{2} v_{2}$

Step 1

Rewrite the equation as $p_{2} v_{2} = p_{1} v_{1}$ .

$p_{2} v_{2} = p_{1} v_{1}$

Step 2

Divide each term in $p_{2} v_{2} = p_{1} v_{1}$ by $v_{2}$ and simplify.

Divide each term in $p_{2} v_{2} = p_{1} v_{1}$ by $v_{2}$ .

$\frac{p_{2} v_{2}}{v_{2}} = \frac{p_{1} v_{1}}{v_{2}}$

Simplify the left side.

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

Cancel the common factor.

$\frac{p_{2} v_{2}}{v_{2}} = \frac{p_{1} v_{1}}{v_{2}}$

Divide $p_{2}$ by $1$ .

$p_{2} = \frac{p_{1} v_{1}}{v_{2}}$