document.write( "Question 12545: I cannot figure out how to work this problem: Find the value of k so that the slope of the line is 3/2. (2+k)x+(2-k)y=15 . Any help would be greatly appriciated. \n" ); document.write( "
Algebra.Com's Answer #6413 by longjonsilver(2297)\"\" \"About 
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given (2+k)x+(2-k)y=15 we can rewrite it as\r
\n" ); document.write( "\n" ); document.write( "(2-k)y = -(2+k)x + 15
\n" ); document.write( "--> \"y+=+-%28%282%2Bk%29%2F%282-k%29%29x+%2B+15%2F%282-k%29\" \r
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\n" ); document.write( "\n" ); document.write( "in this form, the coefficient of the x-term is the gradient, so\r
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\n" ); document.write( "\n" ); document.write( "\"-%28%282%2Bk%29%2F%282-k%29%29\" is 3/2\r
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\n" ); document.write( "\n" ); document.write( "\"-%28%282%2Bk%29%2F%282-k%29%29+=+3%2F2\"
\n" ); document.write( "\"-2%282%2Bk%29+=+3%282-k%29\"
\n" ); document.write( "-4-2k = 6-3k
\n" ); document.write( "-4+k = 6
\n" ); document.write( "k = 10\r
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\n" ); document.write( "\n" ); document.write( "jon.
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