document.write( "Question 1024893: The difference between two numbers is 12. Five times the larger number is 17 times the smaller number. Write a system of equations describing the given conditions. Then solve the system by the substitution method and find the two numbers. \n" ); document.write( "
Algebra.Com's Answer #640262 by Timnewman(323)![]() ![]() You can put this solution on YOUR website! hi dear, \n" ); document.write( "let the bigger number be x, \n" ); document.write( "\" \" smaller \" \" y. \n" ); document.write( "from your questiomn, \n" ); document.write( "x-y=12----(1) \n" ); document.write( "5x=17y----(2) \n" ); document.write( "from equation (1) \n" ); document.write( "x=12+y---(3) \n" ); document.write( "put (3) in (2) \n" ); document.write( "5(12+y)=17y \n" ); document.write( "60+5y=17y \n" ); document.write( "17y-5y=60 \n" ); document.write( "12y=60 \n" ); document.write( "y=5 \n" ); document.write( "put y=5 in (3) \n" ); document.write( "x=12+5 \n" ); document.write( "x=17 \n" ); document.write( "The nubers are 17 and 5. \n" ); document.write( "----Timnewman------ \n" ); document.write( " |