document.write( "Question 14295: Hi the equation is a simultaneous equation. I worked it out and got it wrong so I did your help in finding the correct solution.\r
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Algebra.Com's Answer #7164 by atif.muhammad(135)\"\" \"About 
You can put this solution on YOUR website!
12f-6e=-2 ---> 1.\r\n" );
document.write( "7e-3f=6 ---> 2.\r\n" );
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document.write( "manipulate 1. \r\n" );
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document.write( "12f-6e=-2\r\n" );
document.write( "12f=-2+6e\r\n" );
document.write( "f= (-1+3e)/6 --> 3.\r\n" );
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document.write( "manipulate 2.\r\n" );
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document.write( "7e-3f=6\r\n" );
document.write( "-3f=6-7e\r\n" );
document.write( "3f=7e-6\r\n" );
document.write( "f=(7e-6)/3 --> 4.\r\n" );
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document.write( "equate 3. and 4.\r\n" );
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document.write( "3. = 4.\r\n" );
document.write( "(-1+3e)/6 = (7e-6)/3\r\n" );
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document.write( "3(-1+3e)/6 = 7e-6\r\n" );
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document.write( "(-1+3e)/2 = 7e-6\r\n" );
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document.write( "-1+3e = 14e-12\r\n" );
document.write( " -11e = -11\r\n" );
document.write( "    e= 1\r\n" );
document.write( "e= 1 ---> 5.\r\n" );
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document.write( "substitute 5. into 1.\r\n" );
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document.write( "12f-6e=-2\r\n" );
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document.write( "12f-[6* (1)] = -2\r\n" );
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document.write( "12f- (6) = -2\r\n" );
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document.write( "12f = -2 + (6)\r\n" );
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document.write( "12f = 4\r\n" );
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document.write( "f = 4/12 = 1/3\r\n" );
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document.write( "therefore, e=1 f=1/3\r\n" );
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document.write( "lets check the values by substiting them into 2.\r\n" );
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document.write( "2. : \r\n" );
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document.write( "7e-3f=6\r\n" );
document.write( "7(1) - [3(1/3)] = 6\r\n" );
document.write( "7-1 = 6\r\n" );
document.write( "6=6 --> correct!\r\n" );
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document.write( "We now have proven that e= 1, f=1/3!
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