※ 引述《marlboro001 (小學)》之銘言：
: 求出四組滿足方程式 35x + 55y +77z =1 的整數解 (x,y,z)
5 ( 7x + 11y ) + 77z = 1
z = -2 => 7x + 11y = 31
when x = -3 , y = 2 , 7x + 11y = 1
take x = -3*31 = -93 , y= 2 * 31 = 62 ,
(x,y,z) = ( -93 , 62 , -2 )
similarly , z = 3 => 7x + 11y = -46
take x = -3 * -46 = 138 , y = 2 * -46 = -92
(x,y,z) = ( 138 , -92 , 3 )
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