Question

a+b=1,(6)
a-b=0,(3)
a=?
b=?

Answer 1

1,(6)= 15/9
0,(3)=3/9
faci suma intre primele 2 ecuatii
(a+b)+(a-b)=15/9+3/9;
2a=18/9;
2a=2;
a=1;
a+b=15/9;
scriem 1 ca 9/9;
9/9+b=15/9;
b=(15-9)/9;
b=6/9;
b=2/3;

Answer 2

$\displaystyle a+b=1,(6) \\ a+b= \frac{5}{3} \\ a-b=0,(3) \\ a-b= \frac{1}{3} \\ \left \{ {{a+b= \frac{5}{3} } \atop {a-b= \frac{1}{3} }} \right. \\ 2a/= \frac{6}{3} \\ 2a=2 \\ a= \frac{2}{2} \\ a=1 \\ 1+b= \frac{5}{3} \\ 3+3b=5 \\ 3b=5-3 \\ 3b=2 \\ b= \frac{2}{3}$
$\displaystyle \boxed{a=1;b= \frac{2}{3} }$