document.write( "Question 40550: 2/5x=-10 \n" ); document.write( "
Algebra.Com's Answer #25967 by tutorcecilia(2152)\"\" \"About 
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2/5x=-10\r
\n" ); document.write( "\n" ); document.write( "First, you need to isolate the \"x\". Since the \"x\" term is in the denominator of a fraction, multiply both sides of the equation by the inverse of 1/5x which would be 5x/1 (just flip it):\r
\n" ); document.write( "\n" ); document.write( "2/5x (5x/1) = -10 (5x/1)\r
\n" ); document.write( "\n" ); document.write( "Cancel and Simplify you get:\r
\n" ); document.write( "\n" ); document.write( "2 = -10 (5x)\r
\n" ); document.write( "\n" ); document.write( "Continue to simplify:\r
\n" ); document.write( "\n" ); document.write( "2 = -50x\r
\n" ); document.write( "\n" ); document.write( "Divide both sides by -50 to further isolate the \"x\":\r
\n" ); document.write( "\n" ); document.write( "2/-50 = x\r
\n" ); document.write( "\n" ); document.write( "Reduce:\r
\n" ); document.write( "\n" ); document.write( "1/-25 = x or -1/25 = x\r
\n" ); document.write( "\n" ); document.write( "Be sure to check the answer by plugging the value of x (which we think is -25) back into the original problem:\r
\n" ); document.write( "\n" ); document.write( "2/5x=-10\r
\n" ); document.write( "\n" ); document.write( "2/(5 (-1/25)) = -10\r
\n" ); document.write( "\n" ); document.write( "Enter the left side of the equation into your calculator:\r
\n" ); document.write( "\n" ); document.write( "2 divided by 5/(-1/25) = -10\r
\n" ); document.write( "\n" ); document.write( "Entire this equation into your calculator and you should get:\r
\n" ); document.write( "\n" ); document.write( "-10 = -10\r
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