#### Answer

$x\approx19.1$
$y\approx14.5$

#### Work Step by Step

$\frac{sin(63)}{18}=\frac{sin(71)}{x}$--> set terms into Law of Sines
$x(\frac{sin(63)}{18})=sin(71)$--> multiply both sides by term x
$x=\frac{sin(71)}{\frac{sin(63)}{18}}$--> divide both sides by term $\frac{sin(63)}{18}$ to isolate x
$x\approx19.1$ --> plug into a calculator and round to the nearest tenth
$\frac{sin(46)}{y}=\frac{sin(63)}{18}$--> set terms into law of sines
$sin(46)=y(\frac{sin(63)}{18})$--> multiply both sides by term y
$\frac{sin(46)}{\frac{sin(63)}{18}}=y$ --> divide both sides by $\frac{sin 63}{18}$ to isolate y
$y\approx14.5$--> plug into a calculator and round to the nearest tenth