document.write( "Question 956656: the sum of three numbers is 39. the sum of the first and second is twice the third. the sum of the second and the third is 3 more than twice the first. find the third number \n" ); document.write( "
Algebra.Com's Answer #584479 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! X+Y+Z=39 \n" ); document.write( "X+Y=2Z \n" ); document.write( "Y+Z=2X+3 \n" ); document.write( "REPLACE (X+Y) WITH 2Z IN THE FIRST EQUATION \n" ); document.write( "2Z+Z=39 \n" ); document.write( "3Z=39 \n" ); document.write( "Z=39/3 \n" ); document.write( "Z=13 ANS. \n" ); document.write( "X+Y+13=39 \n" ); document.write( "X+Y=39-13 \n" ); document.write( "X+Y=26 \n" ); document.write( "Y+13=2X+3 \n" ); document.write( "Y-2X=3-13 \n" ); document.write( "Y-2X=-10 \n" ); document.write( "Y=2X-10 \n" ); document.write( "REPLACE Y WITH 2X-10 & SOLVE FOR X \n" ); document.write( "X+(2X-10)=26 \n" ); document.write( "3X=26+10 \n" ); document.write( "3X=36 \n" ); document.write( "X=36/3 \n" ); document.write( "X=12 ANS. \n" ); document.write( "Y=2*12-10=24-10=14 ANS. \n" ); document.write( "PROOF: \n" ); document.write( "12+14+13=39\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |