document.write( "Question 248483: A number is four less than four times another number. If the product of the two numbers is 63. Find the two numbers? \n" ); document.write( "
Algebra.Com's Answer #181136 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two numbers: x & y \n" ); document.write( ": \n" ); document.write( "\"A number is four less than four times another number.\" \n" ); document.write( "x = 4y - 4 \n" ); document.write( ": \n" ); document.write( "If the product of the two numbers is 63. \n" ); document.write( "x*y = 63 \n" ); document.write( ": \n" ); document.write( "Find the two numbers? \n" ); document.write( ": \n" ); document.write( "Replace x with (4y-4) \n" ); document.write( "(4y-4)*y = 63 \n" ); document.write( "4y^2 - 4y = 63 \n" ); document.write( "4y^2 - 4y - 63 = 0 \n" ); document.write( "Factor \n" ); document.write( "(2y-9)(2y+7) = 0 \n" ); document.write( "two solutions \n" ); document.write( "2y = 9 \n" ); document.write( "y = 4.5 \n" ); document.write( "and \n" ); document.write( "2y = -7 \n" ); document.write( "y = -3.5 \n" ); document.write( ": \n" ); document.write( "Find x when y = 4.5 \n" ); document.write( "x = 4(4.5) -4 \n" ); document.write( "x = 18 - 4 \n" ); document.write( "x = 14 (14 * 4.5 = 63) \n" ); document.write( ": \n" ); document.write( "Find x when y = -3.5 \n" ); document.write( "x = 4(-3.5) - 4 \n" ); document.write( "x = -14 - 4 \n" ); document.write( "x = -18 (-18 * -3.5 = 63) \n" ); document.write( ": \n" ); document.write( "Two solutions 14, 4.5 and -18, -3.5 \n" ); document.write( " |