document.write( "Question 303177: if y varies directly as x and inversely as z^2, and y=3 when x=2 and z=4, what is the value of x when y=6 and z=2 \n" ); document.write( "

Algebra.Com's Answer #217370 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"y=%28kx%29%2Fz%5E2\"$
\n" ); document.write( " $\"3=%28k%282%29%29%2F%284%29%5E2\"$
\n" ); document.write( " $\"3=k%2F8\"$
\n" ); document.write( " $\"k=24\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"y=%2824x%29%2Fz%5E2\"$
\n" ); document.write( " $\"6=%2824x%29%2F2%5E2\"$
\n" ); document.write( " $\"24=24x\"$
\n" ); document.write( " $\"highlight_green%28x=1%29\"$ \n" ); document.write( "

\n" );