document.write( "Question 1208620: On the number line x= 2/9 and y= 17/18. The point z divides the segment from x to y into two parts such that the distance from x to z is 5/9 of the distance from z to y. Find the distance from z to y. \n" ); document.write( "

Algebra.Com's Answer #847257 by MathTherapy(10552) $\"\"$ $\"About$

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document.write( "On the number line x= 2/9 and y= 17/18. The point z divides the segment from x to y into two parts such that the distance from x to z is 5/9 of the distance from z to y. Find the distance from z to y.\r\n" );
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document.write( "To keep things uniform, let's change x to match y's denominator, 18. We than get x as:  \r\n" );
document.write( "Distance between x and y:  \r\n" );
document.write( "With point z between xy, we get segments, xz, and zy, with xz + zy = xy ===> xz = xy - zy \r\n" );
document.write( "As distance from x to z is  the distance from z to y, \r\n" );
document.write( "                                                     -- Substituting xy - zy for xz \r\n" );
document.write( "                                                     ----- Substituting  for xy\r\n" );
document.write( "                                                  13 - 18zy = 10zy ----- Multiplying by LCD, 18\r\n" );
document.write( "                                                         13 = 10zy + 18zy\r\n" );
document.write( "                                                         13 = 28zy\r\n" );
document.write( "                          Distance from z to y, or \r\n" );
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document.write( "It would seem a lot less complex - if it's considered so now - to draw a number line in 18s,\r\n" );
document.write( "i.e. , and marking off points x, y, and z, so this can be clearer to you.

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