document.write( "Question 1199571: For the matrix given in RREF, write the solution of the system of equations.\r
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Algebra.Com's Answer #833507 by ikleyn(52852) $\"\"$ $\"About$

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document.write( "For the given RREF, the standard form of the system of linear equations is\r\n" );
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document.write( "    1x + 2y = 1,\r\n" );
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document.write( "    0x + 0y = 0.\r\n" );
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document.write( "The second equation is always valid for any values of x and y. \r\n" );
document.write( "Therefore, it does not carry any information and we can neglect it.\r\n" );
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document.write( "So, we have, actually, only one working equation\r\n" );
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document.write( "    x + 2y = 1.\r\n" );
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document.write( "It means that y can be any value, and x = 1 - 2y.\r\n" );
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document.write( "ANSWER.  y can be any value and x = 1-2y  is the general solution.\r\n" );
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