document.write( "Question 1044722: Find by calculating the centre of a circle whose centre is on the line 7y=-2x +36 and touches both the positive x-axis and positive y-axis \n" ); document.write( "

Algebra.Com's Answer #660063 by ikleyn(52802) $\"\"$ $\"About$

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\n" ); document.write( "Find by calculating the centre of a circle whose centre is on the line 7y=-2x +36 and touches both the positive x-axis and positive y-axis
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document.write( "Since the circle touches the both axes, its center lies on the bisector of the QI, which is a straght line y = x.\r\n" );
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document.write( "So, the center lies in the intersection of the two straight lines:\r\n" );
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document.write( "7y = -2x + 36,  and\r\n" );
document.write( "y = x.\r\n" );
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document.write( "Substitute y = x into the first equation, and you will get\r\n" );
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document.write( "7y = -2y + 36,   or   9y = 36,  or y = 4.\r\n" );
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document.write( "Then x = 4, too.\r\n" );
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document.write( "Answer. The center lies at the point (4,4).\r\n" );
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