\(\dfrac{a}{7}-\dfrac{1}{2}=\dfrac{7}{b+3}\)
=>\(\dfrac{2a-7}{14}=\dfrac{7}{b+3}\)
=>\(\left(2a-7\right)\left(b+3\right)=98\)
mà a,b nguyên
nên \(\left(2a-7;b+3\right)\in\left\{\left(1;98\right);\left(49;2\right);\left(-1;-98\right);\left(-49;-2\right);\left(7;14\right);\left(-7;-14\right)\right\}\)
=>\(\left(a,b\right)\in\left\{\left(4;95\right);\left(28;-1\right);\left(3;-101\right);\left(-21;-5\right);\left(7;11\right);\left(0;-17\right)\right\}\)
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