※ 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)
來湊熱鬧>"<
=> 1=35(x+2y+2z)-15y+7z=7(5x+8y+11z)-y
=> y=-1+7t, 5x+8y+11z=t
=> y=-1+7t, 5(x+2z)+z=8-55t
=> y=-1+7t, z=3-5s, x+2z=1-11t+s
=> x=-5-11t+11s, y=-1+7t, z=3-5s, t,s為整數
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