document.write( "Question 68978: The difference between two numbers is 16. Five times the smaller is the same aas 8 less that twice the larger. Find the numbers. I need this to be in a system of two equations in two variables. \n" ); document.write( "
Algebra.Com's Answer #49082 by checkley75(3666)![]() ![]() ![]() You can put this solution on YOUR website! X-Y=16 X=Y+16 NOW SUBSTITUTE (Y+16) FOR X IN THE OTHER EQUATION \n" ); document.write( "5X-8=2Y THUS \n" ); document.write( "5(Y+16)-8=2Y \n" ); document.write( "5Y+80-8=2Y \n" ); document.write( "5Y-2Y=+8-80 \n" ); document.write( "3Y=-72 \n" ); document.write( "Y=-72/3 \n" ); document.write( "Y=-24 THUS \n" ); document.write( "X-(-24)=16 \n" ); document.write( "X+24=16 \n" ); document.write( "X=16-24 \n" ); document.write( "X=-8 \n" ); document.write( "PROOF \n" ); document.write( "5*-8-8=2*-24 \n" ); document.write( "-40-8=-48 \n" ); document.write( "-48=-48\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |