document.write( "Question 1042186: I can't find the points for the equations 5x-4y=1 and 10x-8y=2. Can you help me ? \n" ); document.write( "

Algebra.Com's Answer #657147 by ikleyn(52806) $\"\"$ $\"About$

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\n" ); document.write( "I can't find the points for the equations 5x-4y=1 and 10x-8y=2. Can you help me ?
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document.write( "1.  These two equations are equivalent to one equation\r\n" );
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document.write( "    5x - 4y = 1.\r\n" );
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document.write( "    Therefore, they represent ONE STRAIGHT LINE.\r\n" );
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document.write( "    Or, one can say, that the two equations represent two straight lines that coincide.\r\n" );
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document.write( "    For details, see the lesson Geometric interpretation of a linear system of two equations in two unknowns in this site.\r\n" );
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document.write( "2.  Why you can't find the points for the equations?\r\n" );
document.write( "    I can easily do it. I rewrite the first equation as 5x-1 = 4y and then as y = .\r\n" );
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document.write( "    Then I take x = 0 and calculate y =  =  = .\r\n" );
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document.write( "    Next, I take x = 1 and calculate y =  =  =  = 1.\r\n" );
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document.write( "    And so on . . . \r\n" );
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document.write( "3.  Do you know why you coudn't do it? \r\n" );
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document.write( "    Because you even didn't try.\r\n" );
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