document.write( "Question 1059133: Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
\n" ); document.write( "9) 4(4x - 15) = 16x - 60
\n" ); document.write( "10) 9x + 2x = 10x
\n" ); document.write( "11) -4(x + 6) + 165 = 5x - 9(x - 9) \n" ); document.write( "

Algebra.Com's Answer #674208 by ikleyn(52782) $\"\"$ $\"About$

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\n" ); document.write( "Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
\n" ); document.write( "9) 4(4x - 15) = 16x - 60
\n" ); document.write( "10) 9x + 2x = 10x
\n" ); document.write( "11) -4(x + 6) + 165 = 5x - 9(x - 9)
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document.write( "9)  4(4x - 15) = 16x - 60  --->\r\n" );
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document.write( "    16x - 60 = -16x - 60,\r\n" );
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document.write( "    16x + 16x = -60 + 60\r\n" );
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document.write( "    32x = 0,\r\n" );
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document.write( "    x = 0.   <==== It is not an identity.  It is equation.  It is not inconsistent.  In opposite, it is consistent.\r\n" );
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document.write( "10)  9x + 2x = 10x  --->\r\n" );
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document.write( "     11x = 10x,\r\n" );
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document.write( "     11x - 10x = 0,\r\n" );
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document.write( "     x = 0.  <==== It is not an identity. It is equation.  It is not inconsistent.  In opposite, it is consistent.\r\n" );
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document.write( "11)  -4(x + 6) + 165 = 5x - 9(x - 9)  --->\r\n" );
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document.write( "     -4x - 24 + 165 = 5x - 9x + 81,\r\n" );
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document.write( "     -4x +141 = -4x + 81,  --->\r\n" );
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document.write( "     141 = 81.   <==== This equality is impossible.  Hence, the original equation is inconsistent.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Disregard what \"josgarithmetic\" wote in your post. It is wrong.\r
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