document.write( "Question 49467: solve for x.\r
\n" ); document.write( "\n" ); document.write( "-6x/5=-7/6\r
\n" ); document.write( "\n" ); document.write( "Negative 6x over 5 (as a fraction) = Negative 7 over 6 (as a fraction) \n" ); document.write( "

Algebra.Com's Answer #32845 by AnlytcPhil(1806) $\"\"$ $\"About$

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solve for x. \r\n" );
document.write( "-6x/5=-7/6 \r\n" );
document.write( "Negative 6x over 5 (as a fraction) = Negative 7 over 6 (as a fraction)\r\n" );
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document.write( "The LCD is 30 because the smallest integer both 5 and 6 will divide\r\n" );
document.write( "evenly into is 30.  So start with the original equation\r\n" );
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document.write( "        -6x      -7\r\n" );
document.write( "       ----- = -----\r\n" );
document.write( "         5        6\r\n" );
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document.write( "Now multiply both sides by 30, written as 30/1:\r\n" );
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document.write( " 30     -6x     30     -7\r\n" );
document.write( "---- · ----- = ---- · ----\r\n" );
document.write( "  1      5       1      6\r\n" );
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document.write( "Now on the left cancel the 5 in the bottom into the 30 in the top.\r\n" );
document.write( "Similarly on the right cancel the 6 in the bottom into the 30 in the top,\r\n" );
document.write( "Upon cancelling, you get 6 on the left, and 5 on the right:\r\n" );
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document.write( " 6              5 \r\n" );
document.write( " 30     -6x     30     -7\r\n" );
document.write( "---- · ----- = ---- · ----\r\n" );
document.write( "  1      5       1      6\r\n" );
document.write( "         1              1\r\n" );
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document.write( "Now you have the 6 times the -6x on the left, which gives -36x\r\n" );
document.write( "Similarly, you have the 5 times the -7 of the right, which gives -35,\r\n" );
document.write( "so you have:\r\n" );
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document.write( "        -36x = -35   \r\n" );
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document.write( "Now divide both sides by -36. On the left you will have just x, and\r\n" );
document.write( "on the right side if you divide -35 by -36 you get +35/36\r\n" );
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document.write( "          x = 35/36\r\n" );
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document.write( "Edwin

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