document.write( "Question 853841: The sum of two positive integers is 9. Twice the first integer plus thrice the second integer is 22. Determine the numbers \n" ); document.write( "
Algebra.Com's Answer #514297 by rothauserc(4718) You can put this solution on YOUR website! we have two equations, let x be one positive integer and y be the other \n" ); document.write( " x + y = 9 \n" ); document.write( "2x + 3y = 22 \n" ); document.write( "solve first equation for x and substitute in second equation \n" ); document.write( "x = 9 - y \n" ); document.write( "2(9-y) +3y = 22 \n" ); document.write( "18-2y +3y = 22 \n" ); document.write( "y = 4 \n" ); document.write( "x = 5 \n" ); document.write( "substitute in second equation \n" ); document.write( "2*5 + 3*4 = 22 \n" ); document.write( "22 = 22 \n" ); document.write( "our answer checks :-) \n" ); document.write( " \n" ); document.write( " |