Đáp án:
Giải thích các bước giải:
$\dfrac{a}{2}-\dfrac{3}{b}=\dfrac{5}{6}$
$ $
$⇒\dfrac{3ab}{6b}-\dfrac{18}{6b}=\dfrac{5b}{6b}$
$ $
$⇒3ab-18=5b$
$⇒3ab-5b=18$
$⇒b.(3a-5)=18=18.1=1.18=2.9=9.2=6.3=3.6$
$\text{TH1:b.(3a-5)=18.1}$
$⇒b=18;a=2$
$\text{TH2:b.(3a-5)=1.18}$
$⇒b=1;a=\frac{23}{3}$
$\text{TH3:b.(3a-5)=2.9}$
$⇒b=2;a=\frac{14}{3}$
$\text{TH4:b.(3a-5)=9.2}$
$⇒b=9;a=\frac{7}{3}$
$\text{TH5:b.(3a-5)=6.3}$
$⇒b=6;a=\frac{8}{3}$
$\text{TH6:b.(3a-5)=3.6}$
$⇒b=3;a=\frac{11}{3}$
$ $
Mà $a,b∈N$
$⇒a=2;b=18$
