document.write( "Question 181151: If y varies inversely as 3x +2 and y=24 when x =1 , find x when y is 15?
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Algebra.Com's Answer #135803 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! If y varies inversely as 3x +2 and y=24 when x =1 \n" ); document.write( "-------------------------------------- \n" ); document.write( "y = k/(3x+2) \n" ); document.write( "------------------------ \n" ); document.write( "Solve for \"k\": \n" ); document.write( "24 = k/(3*1+2) \n" ); document.write( "24 = k/5 \n" ); document.write( "k = 120 \n" ); document.write( "--- \n" ); document.write( "Equation: \n" ); document.write( "y = 120/(3x+2) \n" ); document.write( "----- \n" ); document.write( "Find x when y is 15?\r \n" ); document.write( "\n" ); document.write( "15 = 120/(3x+2)\r \n" ); document.write( "\n" ); document.write( "Cross-multiply: \n" ); document.write( "3x+2 = 120/15 \n" ); document.write( "3x + 2 = 8 \n" ); document.write( "3x = 6 \n" ); document.write( "x = 2 \n" ); document.write( "=============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |