document.write( "Question 351655: Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of equations to find the numbers. \n" ); document.write( "
Algebra.Com's Answer #251280 by sudhanshu_kmr(1152)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Let first number is x, second is y.\r \n" ); document.write( "\n" ); document.write( "according to question \n" ); document.write( " 3x + 5y = 54 .....(1) \n" ); document.write( " x-2 = y ......(2)\r \n" ); document.write( "\n" ); document.write( "now put y = x-2 in equation (1)\r \n" ); document.write( "\n" ); document.write( "then 3x + 5(x-2) = 54\r \n" ); document.write( "\n" ); document.write( " => 3x + 5x -10 = 54 \r \n" ); document.write( "\n" ); document.write( " => 8x -10 = 54 \r \n" ); document.write( "\n" ); document.write( " => 8x = 54 + 10\r \n" ); document.write( "\n" ); document.write( " => x = 64/8 =8 \n" ); document.write( " \n" ); document.write( " then y = x-2 = 8-2 = 6\r \n" ); document.write( "\n" ); document.write( "so, first number is 8, second is 6.\r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "ometimes there may be typing mistake in solution of a problem, so please ignore it. Understand the concept and try the problem yourself. \n" ); document.write( " |