document.write( "Question 205401: The difference between two numbers is 15. When twice the smaller number is subtracted from three times the larger number the difference is 58. What is the larger number? \n" ); document.write( "
Algebra.Com's Answer #155057 by alicealc(293)![]() ![]() ![]() You can put this solution on YOUR website! 1st number = x \n" ); document.write( "2nd number = y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x - y = 15 \n" ); document.write( "3x - 2y = 58 \n" ); document.write( "multiply the 1st equation by 2: \n" ); document.write( "2x - 2y = 30 \n" ); document.write( "then subtract it from the 2nd equation: \n" ); document.write( "3x - 2y = 58 \n" ); document.write( "2x - 2y = 30 \n" ); document.write( "-------------- (-) \n" ); document.write( "x = 28\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute x = 28 into x - y = 15 \n" ); document.write( "28 - y = 15 \n" ); document.write( "28 - 15 = y \n" ); document.write( "y = 13\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so,the larger number is 28 \n" ); document.write( " \n" ); document.write( " |