## Algebra 1: Common Core (15th Edition)

$x=\frac{pqs}{q+p}$
$\frac{x}{p}+\frac{x}{q}=s$ Find the least common multiplier of p, q: pq Multiply by LCM=pq $\frac{x}{p}pq+\frac{x}{q}pq=spq$ simplify $xq+xp=pqs=$ Factor xq+xp $xq+xp$ factor out common term $=x\left(q+p\right)$ $x\left(q+p\right)=pqs$ Divide both sides by q+p $\frac{x\left(q+p\right)}{q+p}=\frac{pqs}{q+p}$ Simplify $x=\frac{pqs}{q+p}$