document.write( "Question 952227: A first number plus twice a second number is 13. Twice the first number plus the second totals 8. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #581530 by macston(5194)![]() ![]() You can put this solution on YOUR website! F=first number; S=second number \n" ); document.write( "F+2S=13 \n" ); document.write( "F=13-2S \n" ); document.write( "2F+S=8 Substitute for F \n" ); document.write( "2(13-2S)+S=8 \n" ); document.write( "26-4S+S=8 \n" ); document.write( "26-3S=8 Add 3S to each side. \n" ); document.write( "26=3S+8 Subtract 8 from each side. \n" ); document.write( "18=3S Divide each side by 3. \n" ); document.write( "6=S ANSWER 1: The second number is 6. \n" ); document.write( "F=13-2S=13-12=1 ANSWER 2: The first number is 1. \n" ); document.write( "CHECK: \n" ); document.write( "F+2S=13 \n" ); document.write( "1+2(6)=13 \n" ); document.write( "1+12=13 \n" ); document.write( "13=13 \n" ); document.write( "2F+S=8 \n" ); document.write( "2(1)+6=8 \n" ); document.write( "2+6=8 \n" ); document.write( "8=8 \n" ); document.write( " |