document.write( "Question 440679: I need help with the following problems:
\n" ); document.write( "1) 2/x^2-x-12 - 6/x+4 = 2/x-3\r
\n" ); document.write( "\n" ); document.write( "2) x-1/3 + x+2/4 = 1/6\r
\n" ); document.write( "\n" ); document.write( "3) 5/3x - 1/9 = 1/x\r
\n" ); document.write( "\n" ); document.write( "4) 3/3x-2 = 4/2x+1\r
\n" ); document.write( "\n" ); document.write( "I need to solve these \"Equations with Rational Expressions\" and i am having trouble figuring out how to find the LCD for some of them and others i just don't know how to go about solving them at all. Please help.
\n" ); document.write( "~ Thank you.
\n" ); document.write( "

Algebra.Com's Answer #304392 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi
\n" ); document.write( "If I am understqanding Your question(s) properly:
\n" ); document.write( "2) \"%28x-1%29%2F3+%2B+%28x%2B2%29%2F4+=+1%2F6\" OR
\n" ); document.write( " 4(x-1) + 3(x-2) = 2 |Multiplying thru with 12 so as all denominators = 1
\n" ); document.write( " 7x = 12
\n" ); document.write( " x = 12/7
\n" ); document.write( "3) \"5%2F%283x%29+-+1%2F9+=+1%2Fx\" |Multiplying thru with 9x so as all denominators = 1
\n" ); document.write( " 3*5 - x = 9
\n" ); document.write( " 6 = x
\n" ); document.write( "4)\"+3%2F%283x-2%29+=+4%2F%282x%2B1%29\" | Cross Multiplying
\n" ); document.write( " 4(3x-2) = 3(2x+1)
\n" ); document.write( " 6x = 11
\n" ); document.write( " x = 11/6\r
\n" ); document.write( "\n" ); document.write( "1)\"+2%2F%28x%5E2-x-12%29+-+6%2F%28x%2B4%29+=+2%2F%28x-3%29\"
\n" ); document.write( " Check Your sign: should this be?
\n" ); document.write( " \"+2%2F%28x%5E2%2Bx-12%29+-+6%2F%28x%2B4%29+=+2%2F%28x-3%29\"
\n" ); document.write( "then
\n" ); document.write( " 2 - 6(x-3) = 2(x+4) |Multiplying thru with (x+4)(x-3): \"%28x%5E2%2Bx-12%29\"
\n" ); document.write( " 2 - 6x + 18 = 2x+4
\n" ); document.write( " 16 = 8x
\n" ); document.write( " x = 2 \n" ); document.write( "
\n" );