document.write( "Question 806148: The product of two numbers is 28. If the second number is one more than twice the first number, what are the two sets of numbers? \n" ); document.write( "
Algebra.Com's Answer #485716 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the numbers be x & y \n" ); document.write( "xy=28\r \n" ); document.write( "\n" ); document.write( "x=28/y\r \n" ); document.write( "\n" ); document.write( "y-2x=1\r \n" ); document.write( "\n" ); document.write( "subxtitute x\r \n" ); document.write( "\n" ); document.write( "y-2(28/y)=1\r \n" ); document.write( "\n" ); document.write( "y^2-56=y\r \n" ); document.write( "\n" ); document.write( "y^2-y-56=0\r \n" ); document.write( "\n" ); document.write( "y^2-8y+7y-56=0\r \n" ); document.write( "\n" ); document.write( "y(y-8)+7(y-8)=0\r \n" ); document.write( "\n" ); document.write( "(y-8)(y+7)=0\r \n" ); document.write( "\n" ); document.write( "y=8 OR -7\r \n" ); document.write( "\n" ); document.write( "xy = 28 \n" ); document.write( "x=-7 \n" ); document.write( "so y =-4\r \n" ); document.write( "\n" ); document.write( "(-7,-4)\r \n" ); document.write( "\n" ); document.write( "y=8 \n" ); document.write( "then x= 28/8 \n" ); document.write( "x=3.5\r \n" ); document.write( "\n" ); document.write( "(3.5,8) \n" ); document.write( " |