document.write( "Question 1147384: Using Cramer’s rule method, find the value of x and y when given the following two equations, x+y+1/x+y-1 = 2 and x+y-1/x-y-1 = -1
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Algebra.Com's Answer #768715 by ikleyn(52803)\"\" \"About 
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document.write( "Looking on the form the equations are written and presented, I only can guess that the equations are\r\n" );
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document.write( "    \"%28x%2By%2B1%29%2F%28x%2By-1%29\" = 2      (1)\r\n" );
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document.write( "    \"%28x%2By-1%29%2F%28x-y-1%29\" = -1     (2)\r\n" );
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document.write( "Then from equation (1) you have\r\n" );
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document.write( "    x + y + 1 = 2*(x+ y - 1),\r\n" );
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document.write( "    x + y + 1 = 2x + 2y - 2\r\n" );
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document.write( "    1 + 2 = x + y\r\n" );
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document.write( "    x + y = 3\r\n" );
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document.write( "From equation (2)\r\n" );
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document.write( "    x + y - 1 = -(x - y - 1)\r\n" );
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document.write( "    x + y - 1 = -x + y + 1\r\n" );
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document.write( "    2x = 2.\r\n" );
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document.write( "Thus the given system of nonlinear equations is equivalent to this system of linear equations\r\n" );
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document.write( "    x + y = 3,      (3)\r\n" );
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document.write( "    2x    = 2.      (4)\r\n" );
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document.write( "The solution of the system (3),(4) is VERY SIMPLE :  x = 1,  y = 2.\r\n" );
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document.write( "It does not require using the Cramer's method.\r\n" );
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