document.write( "Question 1160783: The sum of two consecutive integers is -173. Find the least of the two integers.\r
\n" );
document.write( "\n" );
document.write( "and\r
\n" );
document.write( "\n" );
document.write( "The sum of three times a number and 21 is 28. Find the number.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #784177 by saw(34) ![]() You can put this solution on YOUR website! Solution. \r \n" ); document.write( "\n" ); document.write( "The sum of two consecutive integers is -173. \n" ); document.write( "1st integer = x \n" ); document.write( "2nd integer = x+1 \n" ); document.write( "x+(x+1) = -173 \n" ); document.write( "Remove parentheses \n" ); document.write( "x+x+1 = -173 \n" ); document.write( "Collect the like terms \n" ); document.write( "2x+1 = -173 \n" ); document.write( "Move constant to the right side and change its sign \n" ); document.write( "2x = -173-1 \n" ); document.write( "Calculate the difference \n" ); document.write( "2x = -174 \n" ); document.write( "Divide both sides of the equation by 2 \n" ); document.write( "x = -87 \n" ); document.write( "x+x+1 = -173 \n" ); document.write( "Use substitution to find the integers \n" ); document.write( "-87+(-87+1) = -173 \n" ); document.write( "-87+-86 = -173 \n" ); document.write( "So two consecutive integers is -87 and -86.\r \n" ); document.write( "\n" ); document.write( "The sum of three times a number and 21 is 28. \n" ); document.write( "1st integer = 3x \n" ); document.write( "2nd integer = 21 \n" ); document.write( "3x+21 = 28 \n" ); document.write( "Move constant to the right side and change its sign \n" ); document.write( "3x = 28-21 \n" ); document.write( "Calculate the difference \n" ); document.write( "3x = 7 \n" ); document.write( "3x+21 = 28 \n" ); document.write( "Use substitution to find the integers \n" ); document.write( "7+21 = 28 \n" ); document.write( "So the integers is 7 and 21. \n" ); document.write( " \n" ); document.write( " |