document.write( "Question 138688: The demand equation is given as \"y=x%2F50%2B15\" and the supply as \"y=12500%2Fx\". Find the equilibrium price. \n" ); document.write( "
Algebra.Com's Answer #101205 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Start with the given system\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"system%28y=x%2F50%2B15%2Cy=12500%2Fx%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=12500%2Fx\" Now move onto the second equation \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%2F50%2B15=12500%2Fx\" Plug in \"y=x%2F50%2B15\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"50x%28x%2F50%2B15%29=50x%2812500%2Fx%29\" Multiply both sides by the LCD 50x\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B750x=625000\" Distribute and multiply\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B750x-625000=0\" Subtract 625000 from both sides. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x%2B1250%29%28x-500%29=0\" Factor the left side (note: if you need help with factoring, check out this solver)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now set each factor equal to zero:\r
\n" ); document.write( "\n" ); document.write( "\"x%2B1250=0\" or \"x-500=0\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=-1250\" or \"x=500\" Now solve for x in each case\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So our answer is \r
\n" ); document.write( "\n" ); document.write( " \"x=-1250\" or \"x=500\" \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "However, a negative number of jackets does not make sense. So the only solution is \"x=500\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"250=12500%2F500\" Now plug \"x=500\" into the second equation\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So our solution is \"x=500\" and \"y=25\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So when 500 jackets are sold, the supply will equal the demand at $25.
\n" ); document.write( "
\n" );