document.write( "Question 1174158: Find A and B if the graph of the equation Ax + 3y = B produces the same same line as the graph of the equation 2x + 6y =7.\r
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Algebra.Com's Answer #799573 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "The simplest way to solve the problem is to make at least one term identical in both equations.\r\n" );
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document.write( "For it, multiply first equation by 2, keeping second equation as is.  You will get\r\n" );
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document.write( "    2Ax + 6y = B\r\n" );
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document.write( "     2x + 6y = 14.\r\n" );
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document.write( "If we want these two equations produce the same graph, the necessary and sufficient condition is\r\n" );
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document.write( "    2A = 2  and  B = 14.\r\n" );
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document.write( "ANSWER.  A = 1;  B = 14.\r\n" );
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