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)\"\" \"About 
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 :-)
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