document.write( "Question 201635: Good day.Could you please hape me to solve this question.I lernt the wey of your answers but I can not receive to the same answer as the lecture note.\r
\n" ); document.write( "\n" ); document.write( "Dan said Jeff:\"I'm thinking of a certain fraction whose denominator is 1 less than twice its numerator.If I add 7 to both its numerator and its denominator,I obtain the number \"3%2F4\". What is the fraction of which I'm thinking?\r
\n" ); document.write( "\n" ); document.write( "This is my way :\"%28x%2B7%29%2F%282x-1%2B7%29=3%2F4+\" So: \"%28x%2B7%294=%282x%2B6%293\"
\n" ); document.write( "This was the solver way:\"%28x%2B7%29%2F%282x-1%2B7%29-3%2F4=0\"
\n" ); document.write( "I always use of the first way but now I'm not sure about that!
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Algebra.Com's Answer #151869 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
You have the correct equation (and the solver has an altered form of your equation), so let's take it from there...\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B7%29%2F%282x-1%2B7%29=3%2F4+\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B7%29%2F%282x%2B6%29=3%2F4+\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"4%28x%2B7%29=3%282x%2B6%29\" Cross multiply\r
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\n" ); document.write( "\n" ); document.write( "\"4x%2B28=6x%2B18\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"4x=6x%2B18-28\" Subtract \"28\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"4x-6x=18-28\" Subtract \"6x\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-2x=18-28\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"-2x=-10\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28-10%29%2F%28-2%29\" Divide both sides by \"-2\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"x=5\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the solution is \"x=5\" \r
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\n" ); document.write( "\n" ); document.write( "This means that the fraction \"x%2F%282x-1%29\" becomes \"5%2F%282%2A5-1%29=5%2F9\"\r
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\n" ); document.write( "\n" ); document.write( "So the original fraction was \"5%2F9\"\r
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\n" ); document.write( "\n" ); document.write( "Take note that \"%285%2B7%29%2F%289%2B7%29=12%2F16=3%2F4\" which verifies our answer.\r
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