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(1)と(2)教えてください

155 次の方程式の整数解をすべて求めよ。 (1) 2x-7y=1 (2) 13x+20y=2 O FILMOGA JAG SJ

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✨ Best Answer ✨

⑴はx=4,y=1が1つの答えだから
2(x-4)=7(y-1)
x-4=7k
x=7k+4
y-1=2k
y=2k+1
kは整数
⑵はx=-6,y=4が1つの答えだから
同じ様に
13(x+6)=-20(y-4)
x+6=-20k
y-4=13k
kは整数とする

ami

丁寧にありがとうございます🙇🏻

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