document.write( "Question 91042: n+4/9=3
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Algebra.Com's Answer #66641 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! A couple of ways come to mind on this problem. \n" ); document.write( ". \n" ); document.write( "You are given: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "To solve for n, you might replace the 3 on the right side by \n" ); document.write( "Note that this fraction has the same denominator as the fraction on the left side. \n" ); document.write( ". \n" ); document.write( "Next you can get rid of the \n" ); document.write( "sides. This subtraction results in: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Because the fractions on the right side have the same denominator you can subtract their \n" ); document.write( "numerators and the equation reduces to: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "So, you have the answer of \n" ); document.write( ". \n" ); document.write( "Another way you could do the problem is to start with the original equation: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "and get rid of the denominator 9 by multiplying both sides (all terms) by 9. This multiplication \n" ); document.write( "results in: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "And this simplifies to: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Subtract 4 from both sides and you have: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "And finally, solve for n by dividing both sides by 9 (the multiplier of n) to get: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Which is the same answer as we got before. \n" ); document.write( ". \n" ); document.write( "You can check the answer by returning to the original equation you were given and substituting \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "On the left side, there is a common denominator so the numerators can be added to get: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "After the numerators are added you have: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "And after the 27 is divided by the 9 on the left side you get: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Since this is true, the equation works when \n" ); document.write( "got is correct. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem and several ways in which it can be worked. \n" ); document.write( ". \n" ); document.write( "And just in case you meant the problem to be: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "(which is not the way you wrote it), you can work this problem by multiplying both sides \n" ); document.write( "by 9 (all terms) to make the equation become: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "Then subtract 4 from both sides and you get: \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( ". \n" ); document.write( "In this case the answer for n is n = 23. \n" ); document.write( " \n" ); document.write( " |