document.write( "Question 325291: the sum of twice one number and three times a second number is 84 sum of thrice the first number and five times the second is 136.what is the number?
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Algebra.Com's Answer #232973 by vidhyak(98)![]() ![]() ![]() You can put this solution on YOUR website! Let the 2 numbers be x,y \n" ); document.write( " the sum of twice one number and three times a second number is 84 \n" ); document.write( "2x + 3y =84 ......eq 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sum of thrice the first number and five times the second is 136 \n" ); document.write( "3x +5y =136 ......eq 2 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply eq1 by 3 and eq 2 by 2 to cancel out 'x' \n" ); document.write( "6x + 9y =252 \n" ); document.write( "6x +10y =272 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract the above equations \n" ); document.write( "-y = -20 \n" ); document.write( "y = 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute y = 20 in eq 1 \n" ); document.write( "2x + 3y =84 \n" ); document.write( "2x + 3(20) =84 \n" ); document.write( "2x + 60 =84 \n" ); document.write( "2x =84 -60 \n" ); document.write( "2x = 24 \n" ); document.write( "x =12\r \n" ); document.write( "\n" ); document.write( "x = 12, y = 20 \n" ); document.write( " |