document.write( "Question 982856: The question:\r
\n" ); document.write( "\n" ); document.write( "Two fractions have denominators 3 and 4 and their sum is 17/12. If the numerators are switched, the sum is 3/2. Set up a linear system and solve it using elimination to determine the two numerators.\r
\n" ); document.write( "\n" ); document.write( "My comments:\r
\n" ); document.write( "\n" ); document.write( "I tried to work out this problem starting by making my two equations to try and solve the problem. I started with x/3 + y/3 = 17/12 and y/3 + x/4 = 3/2. From there I tried to do multiple different things but they all ended with a weird answer. How do I correctly solve this problem?
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Algebra.Com's Answer #603618 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
Look for mistakes in your work.\r
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\n" ); document.write( "\n" ); document.write( "The two equations start like this.
\n" ); document.write( "\"system%28x%2F3%2By%2F4=17%2F12%2Cy%2F3%2Bx%2F4=3%2F2%29\"\r
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\n" ); document.write( "\n" ); document.write( "Use your skills with fractions, or rational expressions, to obtain standard form of each equations. The lowest common denominator of both the equations is 12.\r
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\n" ); document.write( "\n" ); document.write( "\"system%2812%28x%2F3%2By%2F4%29=12%2817%2F12%29%2C12%28y%2F3%2Bx%2F4%29=12%283%2F2%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%284x%2B3y=17%2C4y%2B3x=6%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%284x%2B3y=17%2C3x%2B4y=6%29\"
\n" ); document.write( "If you know how to use the Elimination Method, then you can solve this system and finish.
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