document.write( "Question 334285: x=3v
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\n" ); document.write( "\n" ); document.write( "For the system of equations above, if x is unequal to 0, what is the value of p? \n" ); document.write( "

Algebra.Com's Answer #239550 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "That system is the same as:\r\n" );
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document.write( "which can be written\r\n" );
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document.write( "This is a homogeneous system, which means all the\r\n" );
document.write( "constant terms are 0.\r\n" );
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document.write( "A homogeneous system always has solution (0,0,0) and\r\n" );
document.write( "that is the only solution it can have it the matrix\r\n" );
document.write( "of the coefficients is not singular. \r\n" );
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document.write( "Since we are told that x is not 0, we know that the \r\n" );
document.write( "matrix of coeficients is singular and therefore the \r\n" );
document.write( "determinant of coefficients must be 0. so we set the \r\n" );
document.write( "determinant of coefficients = 0.\r\n" );
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document.write( "We evaluate the determinant (I assume you know how, \r\n" );
document.write( "if you don't post again asking how.) We get:\r\n" );
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document.write( "-p + 12 = 0\r\n" );
document.write( "     -p = -12\r\n" );
document.write( "      p = 12\r\n" );
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document.write( "Edwin

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