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一道数学题,用方程解,Assuming k is an integer,if equation 7x-5=kx+9,with respect to x,has positive integer solution,values of k are

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一道数学题,用方程解,
Assuming k is an integer,if equation 7x-5=kx+9,with respect to x,has positive integer solution,values of k are
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答案和解析
(7-k)x=14,因k和x均大于0,则k<7,故k=1,2,3,4,5,6,分别代入式中,则x=7,14.其他几种情况部成立,因为x也为整数.