document.write( "Question 1025436: What would be the solution to the following system of equations:\r
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document.write( "2x + y - 3z = 11\r
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document.write( "-x + 2y + 4z = -3\r
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document.write( "x - 5y + 2z = -18\r
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document.write( "A.) (-1, 1, -4)
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document.write( "B.) (1, 3, -2)
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document.write( "C.) (3, 8, 1)
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document.write( "D.) (2, -3, 0)\r
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document.write( "Thank you in advance. :) \n" );
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Algebra.Com's Answer #640698 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "2x + y - 3z = 11\r\n" ); document.write( "-x + 2y + 4z = -3\r\n" ); document.write( " x - 5y + 2z = -18\r\n" ); document.write( "\r\n" ); document.write( "Add the second and third equations \r\n" ); document.write( "to eliminate the x:\r\n" ); document.write( "\r\n" ); document.write( "That will give you an equation with\r\n" ); document.write( "only y and z in it\r\n" ); document.write( "\r\n" ); document.write( "Then multiply the second original equation\r\n" ); document.write( "\r\n" ); document.write( "-x + 2y + 4z = -3\r\n" ); document.write( " \r\n" ); document.write( "by 2 and add it the the first original equation\r\n" ); document.write( "\r\n" ); document.write( "2x + y - 3z = 11\r\n" ); document.write( "\r\n" ); document.write( "and you will get another equation with\r\n" ); document.write( "only y and z in it. \r\n" ); document.write( "\r\n" ); document.write( "[You will then be able to divide it through by 5.]\r\n" ); document.write( "\r\n" ); document.write( "That will give you a system of 2 equations\r\n" ); document.write( "equations in 2 unknowns, y and z.\r\n" ); document.write( "\r\n" ); document.write( "Then you can solve that system of equations\r\n" ); document.write( "and find y and z. \r\n" ); document.write( "\r\n" ); document.write( "Then finally you will substitute those values\r\n" ); document.write( "for y and z into any one of the original three\r\n" ); document.write( "equations and solve for x\r\n" ); document.write( "\r\n" ); document.write( "If you have trouble, show what you've done in\r\n" ); document.write( "the thank-you note form below and I'll get\r\n" ); document.write( "back to you by email.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |