document.write( "Question 160022: when 4 times the larger of two numbers is added to 3 times the smaller, the result is 68. seven times the larger less 5 times is 37. find the number \n" ); document.write( "
Algebra.Com's Answer #118006 by checkley77(12844) ![]() You can put this solution on YOUR website! 4Y+3X=68 \n" ); document.write( "7Y-5X=37(?) \n" ); document.write( "MULTIPLY THE FIRST EQUATION BY 5 & MULTIPLYTHE SECOND EQUATION BY 3 & ADD THEM. \n" ); document.write( "20Y+15X=340 \n" ); document.write( "21Y-15X=111 \n" ); document.write( "----------------- \n" ); document.write( "41Y=451 \n" ); document.write( "Y=451/41 \n" ); document.write( "Y=11 ANSWER FOR THE LARGER NUMBER. \n" ); document.write( "4*11+3X=68 \n" ); document.write( "44+3X=68 \n" ); document.write( "3X=68-44 \n" ); document.write( "3X=24 \n" ); document.write( "X=24/3 \n" ); document.write( "X=8 ANSWER FOR THE SMALLER NUMBER. \n" ); document.write( "PROOF: \n" ); document.write( "7*11-5*8=37 \n" ); document.write( "77-40=37 \n" ); document.write( "37=37 \n" ); document.write( " \n" ); document.write( " |